Paul Erdős
Hungarian mathematician
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Mathematics
Why Is Paul Erdős Influential?
(Suggest an Edit or Addition)According to Wikipedia, Paul Erdős was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. pursued and proposed problems in discrete mathematics, graph theory, number theory, mathematical analysis, approximation theory, set theory, and probability theory. Much of his work centered around discrete mathematics, cracking many previously unsolved problems in the field. He championed and contributed to Ramsey theory, which studies the conditions in which order necessarily appears. Overall, his work leaned towards solving previously open problems, rather than developing or exploring new areas of mathematics.
Paul Erdős's Published Works
Published Works
- On the evolution of random graphs (1984) (7029)
- INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS (1961) (1394)
- On random graphs, I (1959) (1082)
- On an extremal problem in graph theory (1970) (1016)
- On the structure of linear graphs (1946) (783)
- Some remarks on the theory of graphs (1947) (618)
- A note on Hamiltonian circuits (1972) (614)
- Graphs of Extremal Weights (1998) (584)
- On Sets of Distances of n Points (1946) (577)
- On a lemma of Littlewood and Offord (1945) (484)
- On chromatic number of graphs and set-systems (1966) (465)
- Graph Theory and Probability (1959) (460)
- Families of finite sets in which no set is covered by the union ofr others (1985) (450)
- A LIMIT THEOREM IN GRAPH THEORY (1966) (432)
- On the strength of connectedness of a random graph (1964) (410)
- Old and new problems and results in combinatorial number theory (1980) (405)
- On extremal problems of graphs and generalized graphs (1964) (398)
- On a Theorem of Hsu and Robbins (1949) (394)
- A Partition Calculus in Set Theory (1956) (391)
- On maximal paths and circuits of graphs (1959) (384)
- On a new law of large numbers (1970) (357)
- Intersection Theorems for Systems of Sets (1960) (347)
- On a problem of Oppenheim concerning “factorisatio numerorum” (1983) (345)
- Some Problems on Random Walk in Space (1951) (341)
- Cliques in random graphs (1976) (334)
- A colour problem for infinite graphs and a problem in the theory of relations (1951) (326)
- On a linear diophantine problem of Frobenius (1972) (326)
- The Representation of a Graph by Set Intersections (1966) (318)
- The distribution of the number of summands in the partitions of a positive integer (1941) (305)
- On a Combinatorial Game (1973) (300)
- Random Graph Isomorphism (1980) (299)
- The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions (1940) (298)
- Interpolation (1953) (297)
- The asymptotic number of graphs not containing a fixed subgraph and a problem for hypergraphs having no exponent (1986) (291)
- On a problem of sidon in additive number theory, and on some related problems (1941) (285)
- ASYMMETRIC GRAPHS (285)
- Partition relations for cardinal numbers (1965) (277)
- On the Law of the Iterated Logarithm (1942) (272)
- Combinatorial Theorems on Classifications of Subsets of a Given Set (1952) (260)
- On the Distribution of Roots of Polynomials (1950) (251)
- On the combinatorial problems which I would most like to see solved (1981) (249)
- Ramsey-type theorems (1989) (247)
- Supersaturated graphs and hypergraphs (1983) (243)
- On certain limit theorems of the theory of probability (1946) (236)
- A Tale of Two Sieves (1998) (233)
- On a Problem of Additive Number Theory (1956) (219)
- A limit theorem for the maximum of normalized sums of independent random variables (1956) (217)
- On the maximal number of independent circuits in a graph (1963) (213)
- On some problems of a statistical group-theory. I (1965) (212)
- Theories of electrons in one-dimensional disordered systems (1982) (208)
- On the Distribution Function of Additive Functions (1946) (206)
- On a Family of Symmetric Bernoulli Convolutions (1939) (202)
- On some problems of a statistical group-theory. II (1967) (201)
- The size Ramsey number (1978) (201)
- Some unsolved problems. (1957) (197)
- Crossing Number Problems (1973) (190)
- Some problems concerning the structure of random walk paths (1963) (187)
- On Some Sequences of Integers (1936) (187)
- The product of consecutive integers is never a power (1975) (187)
- Dissection Graphs of Planar Point Sets (1973) (184)
- On the connection between chromatic number, maximal clique and minimal degree of a graph (1974) (177)
- A PROBLEM ON INDEPENDENT r-TUPLES (1965) (175)
- The difference of consecutive primes (1948) (174)
- An Application of Graph Theory to Additive Number Theory (1985) (170)
- On the addition of residue classes mod p (1964) (170)
- Note on normal numbers (1946) (169)
- Lopsided Lovász Local Lemma and Latin transversals (1991) (167)
- Ramsey Numbers for Cycles in Graphs (1973) (163)
- Biased Positional Games (1978) (161)
- Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems (1990) (160)
- On a property of families of sets (1964) (159)
- On the Smoothness Properties of a Family of Bernoulli Convolutions (1940) (159)
- Families of Finite Sets in Which No Set Is Covered by the Union of Two Others (1982) (155)
- On the normal number of prime factors of p-1 and some related problems concerning euler's o/-function (1935) (154)
- On decomposition of graphs (1967) (150)
- On a combinatorial problem. II (1964) (147)
- On Highly Composite Numbers (1944) (147)
- On some problems of a statistical group-theory. IV (1968) (146)
- Professional Mail Surveys (1983) (142)
- Compactness results in extremal graph theory (1982) (141)
- Vertex coverings by monochromatic cycles and trees (1991) (141)
- ON GRAPHS OF RAMSEY TYPE (1976) (137)
- Problems and Results in Graph Theory and Combinatorial Analysis (1977) (136)
- A combinatorial theorem (1950) (133)
- On a Problem of Sidon in Additive Number Theory and on Some Related Problems Addendum (1944) (133)
- Theory of the locomotion of nematodes: Dynamics of undulatory progression on a surface. (1991) (133)
- On a theorem of Rademacher-Turán (1962) (133)
- On Families of Mutually Exclusive Sets (1943) (133)
- Combinatorial theory and its applications (1970) (132)
- On the application of the borel-cantelli lemma (1952) (132)
- On an Elementary Proof of Some Asymptotic Formulas in the Theory of Partitions (1942) (130)
- On Interpolation. III. Interpolatory Theory of Polynomials (1940) (128)
- Remark on my Paper "On a Theorem of Hsu and Robbins" (1950) (127)
- On a Problem in Graph Theory (1963) (125)
- A property of power series with positive coefficients (1949) (125)
- Problems and Results in Combinatorial Analysis (125)
- Studies in Pure Mathematics (1983) (125)
- Some problems in graph theory (1974) (124)
- Problems and results in combinatorial analysis and graph theory (1988) (123)
- Carmichael's lambda function (1991) (120)
- Standard-Basis Operator Method in the Green's-Function Technique of Many-Body Systems with an Application to Ferromagnetism (1972) (120)
- Some remarks on set theory (1943) (118)
- On sums and products of integers (1983) (117)
- Extremal problems in combinatorial geometry (1996) (114)
- Hadwiger's Conjecture is True for Almost Every Graph (1980) (113)
- On the Number of Sets of Integers With Various Properties (1990) (111)
- SETS OF INDEPENDENT EDGES OF A HYPERGRAPH (1976) (111)
- Euclidean Ramsey Theorems I (1973) (111)
- Radius, diameter, and minimum degree (1989) (109)
- Additive Arithmetical Functions and Statistical Independence (1939) (109)
- ON SEQUENCES OF INTEGERS NO ONE OF WHICH DIVIDES THE PRODUCT OF TWO OTHERS AND ON SOME RELATED PROBLEMS (2004) (108)
- On the existence of triangulated spheres in 3-graphs, and related problems (1973) (107)
- On the existence of a factor of degree one of a connected random graph (1966) (106)
- ON SOME PROBLEMS IN GRAPH THEORY , COMBINATORIAL ANALYSIS AND COMBINATORIAL NUMBER THEORY (2004) (105)
- Colouring the real line (1985) (103)
- Additive properties of random sequences of positive integers (1960) (102)
- Maximum induced trees in graphs (1986) (100)
- EVOLUTION OF THE n-CUBE (1979) (100)
- On highly composite and similar numbers (1944) (100)
- Topics in the Theory of Numbers (2003) (100)
- On the Maximal Number of Pairwise Orthogonal Latin Squares of a Given Order (1960) (99)
- Approximation by polynomials (1943) (99)
- How to Define an Irregular Graph (1988) (99)
- Maximum degree in graphs of diameter 2 (1980) (98)
- On a valence problem in extremal graph theory (1973) (96)
- Magnetism of actinide compounds (1999) (95)
- On some problems of elementary and combinatorial geometry (1975) (95)
- The Dimension of the Rational Points in Hilbert Space (1940) (95)
- A Theorem of Sylvester and Schur (1934) (95)
- On Independent Circuits Contained in a Graph (1965) (94)
- On Packing Squares with Equal Squares (1975) (89)
- On the chromatic index of almost all graphs (1977) (88)
- INTERSECTION PROPERTIES OF SYSTEMS OF FINITE SETS (1978) (87)
- On a New Method in Elementary Number Theory Which Leads to An Elementary Proof of the Prime Number Theorem. (1949) (85)
- Note on Sequences of Integers No One of Which is Divisible By Any Other (1935) (83)
- On sequences of positive integers (1936) (82)
- Extremal Problems in Number Theory (2001) (82)
- Theory of the locomotion of nematodes: control of the somatic motor neurons by interneurons. (1993) (81)
- On the Normal Behavior of the Iterates Of some Arithmetic Functions (1990) (81)
- The Construction of Certain Graphs (1966) (81)
- Note on Normal Decimals (1952) (80)
- Highly irregular graphs (1987) (80)
- Graph Theory and Probability. II (1961) (80)
- On the number of positive sums of independent random variables (1947) (80)
- Generalizations of a Ramsey-theoretic result of chvátal (1983) (80)
- On some extremal problems on r-graphs (1971) (80)
- An Isomorphism Theorem for Real-Closed Fields (1955) (79)
- On a Ramsey-Turán type problem (1976) (78)
- How to make a graph bipartite (1987) (78)
- Some problems in partitio numerorum (1979) (77)
- A variant of the classical Ramsey problem (1997) (76)
- On the Size of a Random Maximal Graph (1995) (76)
- ON THE CENTRAL LIMIT THEOREM FOR SAMPLES FROM A FINITE POPULATION (2004) (76)
- Alternating Hamiltonian cycles (1976) (76)
- On Weyl's criterion for uniform distribution. (1963) (76)
- More results on Ramsey—Turán type problems (1983) (75)
- Covering space with convex bodies (1962) (74)
- Extremal Graphs for Intersecting Triangles (1995) (74)
- Ramsey theorems for multiple copies of graphs (1975) (74)
- Extremal graphs for weights (1999) (73)
- SOME RECENT RESULTS ON EXTREMAL PROBLEMS IN GRAPH THEORY (Results) (2002) (73)
- Colouring prime distance graphs (1990) (72)
- Some intersection properties of random walk paths (1960) (71)
- On the irrationality of certain series. (1974) (70)
- Covering the cliques of a graph with vertices (1992) (69)
- On the structure of set-mappings (1958) (69)
- Some New Applications Ok Probability Methods to Combinatorial Analysis and Graph Theory (68)
- On Some of my Favourite Problems in Various Branches of Combinatorics (1992) (68)
- Representations of Integers as the Sum of k Terms (1990) (67)
- On some extremal problems in graph theory (1965) (67)
- When the cartesian product of directed cycles is Hamiltonian (1978) (67)
- On the conjecture of hajós (1981) (66)
- Extremal problems for directed graphs (1973) (66)
- Geometrical Extrema Suggested by a Lemma of Besicovitch (1951) (66)
- On coloring graphs to maximize the proportion of multicolored k-edges (1968) (66)
- On an additive arithmetic function. (1977) (65)
- Separability properties of almost — disjoint families of sets (1972) (65)
- Coloring graphs with locally few colors (1986) (65)
- Problems and results on the theory of interpolation. II (1958) (64)
- Developments in Non-Integer Bases (1998) (64)
- Two combinatorial problems in group theory (1972) (64)
- On Sets of Consistent Arcs in a Tournament (1965) (64)
- On Turán’s theorem for sparse graphs (1981) (64)
- On a Diophantine Equation (1951) (63)
- Professional Mail Surveys. (1971) (62)
- A Tribute to Paul Erdős: Some of my favourite unsolved problems (1990) (62)
- Metric properties of polynomials (1958) (62)
- Crossing families (1991) (61)
- On Ramsey Like Theorems , Problems and Results (2005) (61)
- Some additive properties of sets of real numbers (1981) (61)
- On Interpolation II: On the Distribution of the Fundamental Points of Lagrange and Hermite Interpolation (1938) (60)
- On cycle - Complete graph ramsey numbers (1978) (60)
- Some Linear and Some Quadratic Recursion Formulas. I (1951) (59)
- Some remarks on number theory. II. (1965) (59)
- Probabilistic methods in group theory (1965) (58)
- Asymmetric graphs (1963) (58)
- On the coefficients of the Cyclotomic polynomial (1946) (58)
- On some asymptotic formulas in the theory of partitions (1946) (58)
- Problems and Results on Finite and Infinite Graphs (1975) (58)
- On the Set of Points of Convergence of a Lacunary Trigonometric Series and the Equidistribution Properties of Related Sequences (1957) (58)
- Some old and new problems in various branches of combinatorics (1997) (57)
- Solved and Unsolved Problems in Combinatorics and Combinatorial Number Theory (57)
- Triple points of Brownian paths in 3-space (1957) (57)
- On the Gaussian Law of Errors in the Theory of Additive Functions. (1939) (57)
- On Ramsey—Turán type theorems for hypergraphs (1982) (57)
- Remarks on number theory III. On addition chains (1960) (55)
- Covering a graph by complete bipartite graphs (1997) (55)
- On the density of some sequences of integers (1948) (54)
- On the angular distribution of Gaussian integers with fixed norm (1999) (54)
- Problems and results on combinatorial number theory III (1977) (54)
- Intersection theorems for systems of sets (ii) (1969) (54)
- Extremal Graphs without Large Forbidden Subgraphs (1978) (53)
- A note on regular methods of summability and the Banach-Saks property (1976) (53)
- On the Enumeration of Finite Groups (1987) (53)
- Tight bounds on the chromatic sum of a connected graph (1989) (52)
- Some remarks on Euler's $\phi$ function and some related problems (1945) (51)
- On the Lipschitz's condition for Brownian motion (1959) (51)
- Combinatorial Properties of Systems of Sets (1978) (51)
- Über die kleinste quadratfreie Zahl einer arithmetischen Reihe (1958) (51)
- Some extremal results in cochromatic and dichromatic theory (1991) (51)
- On circuits and subgraphs of chromatic graphs (1962) (51)
- On graphs which contain all sparse graphs (1982) (51)
- On the Maximal Number of Strongly Independent Vertices in a Random Acyclic Directed Graph (1984) (50)
- (1) 15* Remarks on a Paper of Pósa (50)
- A Ramsey-type theorem for bipartite graphs (2000) (50)
- Conditions for a Zero Sum Modulo n (1975) (50)
- Distributed Loop Network with Minimum Transmission Delay (1992) (50)
- On the uniqueness of the expansions 333-01333-01333-01 (1991) (50)
- On the number of complete subgraphs and circuits contained in graphs (1969) (49)
- How abelian is a finite group (1976) (49)
- Some remarks on the measurability of certain sets (1945) (48)
- On the combinatorial problems which I would most like to see solved (1981) (48)
- A problem of Leo Moser about repeated distances on the sphere (1989) (48)
- On the Structure of Edge Graphs (1973) (48)
- Imbalances in k-colorations (1971) (48)
- On some problems of a statistical group-theory. III (1967) (48)
- On complete subgraphs of r-chromatic graphs (1975) (48)
- On the normal number of prime factors of $\phi(n)$ (1985) (48)
- SOME PROBLEMS ON NUMBER THEORY (1969) (47)
- Representations of real numbers as sums and products of Liouville numbers. (1962) (47)
- ON THE CHROMATIC NUMBER OF GEOMETRIC GRAPHS (1980) (47)
- An inequality for the maximum of trigonometric polynomials (1962) (47)
- On the structure of edge graphs ii (1976) (47)
- Cube-Supersaturated Graphs and Related Problems (1982) (46)
- Arithmetical Properties of Polynomials (1953) (46)
- Studies in Pure Mathematics: To the Memory of Paul Turán (1983) (46)
- ON THE DIMENSION OF A GRAPH (1965) (46)
- On the number of positive integers . . . (1966) (46)
- Theory of ion pairs coupled by exchange interaction (1966) (46)
- Additive Gruppen mit vorgegebener Hausdorffscher Dimension. (1966) (46)
- Monotonicity of partition functions (1956) (45)
- Some recent problems and results in graph theory (1997) (45)
- On the Integers Relatively Prime to $n$ and a Number-Theoretic Function Considered by Jacobsthal. (1962) (45)
- A Theorem on the Distribution of the Values of L-Functions (1951) (45)
- Problems and results in combinatorial number theory (1973) (45)
- The Asymptotic Number of Latin Rectangles (1946) (45)
- PROBLEMS AND RESULTS IN COMBINATORIAL GEOMETRY a (1985) (44)
- Magnetic susceptibility and the phase transition of NpO2 (1980) (44)
- SOME REMARKS ON NUMBER THEORY (1962) (44)
- Rainbow Subgraphs in Edge-Colorings of Complete Graphs (1993) (43)
- On the Uniformly-Dense Distribution of Certain Sequences of Points (1940) (43)
- On a Ramsey-type problem (2000) (43)
- On analytic iteration (1960) (43)
- Representation of Group Elements as Short Products (1982) (42)
- SOME PROBLEMS AND RESULTS ON THE IRRATIONALITY OF THE SUM OF INFINITE SERIES by (1975) (42)
- Strong Independence of Graphcopy Functions (1979) (42)
- Some remarks on set theory. IX. Combinatorial problems in measure theory and set theory. (1964) (42)
- Note on the Product of Consecutive Integers (II) (1939) (42)
- On the decomposition of graphs into complete bipartite subgraphs (1983) (42)
- SOME COMBINATORIAL PROBLEMS IN THE PLANE (1978) (42)
- Some Complete Bipartite Graph - Tree Ramsey Numbers (1988) (42)
- On the equality of the partial Grundy and upper ochromatic numbers of graphs (2003) (41)
- On Extremal Properties of the Derivatives of Polynomials (1940) (41)
- Some old and new problems in various branches of combinatorics (1997) (41)
- A Survey of Problems in Combinatorial Number Theory (1980) (41)
- A NOTE ON FAREY SERIES (1943) (40)
- On the density of some sequences of numbers (1935) (40)
- On the almost everywhere divergence of Lagrange interpolatory polynomials for arbitrary system of nodes (1980) (40)
- Some results on additive number theory (1954) (40)
- On non-denumerable graphs (1943) (40)
- On some problems involving inaccessible cardinals (1961) (40)
- On a recursion formula and some Tauberian theorems (1953) (39)
- On the Changes of Sign of a Certain Error Function (1951) (39)
- Problems and results on diophantine approximations (II) (1975) (38)
- On the mean distance between points of a graph (1988) (38)
- Some remarks on polynomials (1947) (38)
- Quasi-progressions and descending waves (1990) (38)
- On the Number of Integers Which Can Be Represented By a Binary Form (1938) (38)
- The Distribution of Values of the Divisor Function d(n) (1952) (38)
- On Some Convergence Properties of the Interpolation Polynomials (1943) (38)
- Problems and Results on Graphs and Hypergraphs: Similarities and Differences (1990) (38)
- The size of the largest bipartite subgraphs (1997) (37)
- A Construction of Graphs without Triangles having Pre‐Assigned Order and Chromatic Number (1960) (37)
- On the Integers Having Exactly K Prime Factors (1948) (37)
- Some remarks about additive and multiplicative functions (1946) (37)
- On Some Applications of Graph Theory to Geometry (1967) (37)
- Electronic Shielding of Pr^{3+} and Tm^{3+} Ions in Crystals (1972) (36)
- Some remark on Euler's φ function (1958) (36)
- Problems and results on additive properties of general sequences. I. (1985) (36)
- Disjoint edges in geometric graphs (1989) (36)
- On the Difference between Consecutive Ramsey Numbers (1989) (36)
- Cutting a graph into two dissimilar halves (1988) (36)
- Algorithmic solution of extremal digraph problems (1985) (35)
- On the multiplicative representation of integers (1964) (35)
- Extremal problems among subsets of a set (1974) (35)
- Maximum planar sets that determine k distances (1996) (35)
- On sums of Rudin-Shapiro coefficients II (1983) (35)
- Generalized Ramsey theory for multiple colors (1976) (34)
- On the Convergence of Trigonometric Seri (1943) (34)
- The Dimension of Random Ordered Sets (1991) (34)
- On Arithmetic Properties of Integers with Missing Digits I: Distribution in Residue Classes☆ (1998) (34)
- Ramsey-minimal graphs for forests (1982) (34)
- Representations of graphs and orthogonal latin square graphs (1989) (34)
- On arithmetic properties of integers with missing digits II: Prime factors (1999) (34)
- On the Sum ∑k=1xd(f(k)) (1952) (34)
- On the distribution of the greatest common divisor (2004) (34)
- Strong independence of graph copy functions (1978) (34)
- Ramsey-minimal graphs for star-forests (1981) (34)
- Theoretical analysis of the 3-k magnetic structure and distortion of uranium dioxide (1987) (33)
- On the difference of consecutive terms of sequences defined by divisibility properties (1966) (33)
- On Orthogonal Polynomials with Regularly Distributed Zeros (1974) (33)
- Mirror Anastigmat with Two Concentric Spherical Surfaces (1959) (32)
- A Problem on Tournaments (1964) (32)
- On two additive problems (1990) (32)
- Some properties of partial sums of the harmonic series (1946) (32)
- On the product of consecutive integers. III (1955) (32)
- Some Problems on Random Intervals and Annihilating Particles (1974) (32)
- The physics of actinide compounds (1983) (32)
- ON THE FAVOURITE POINTS OF A RANDOM WALK (1984) (32)
- On the role of the Lebesgue functions in the theory of the Lagrange interpolation (1955) (32)
- Problems and results on the theory of interpolation. I (1958) (31)
- On the distribution of the number of prime factors of sums $a+b$ (1987) (31)
- UNSOLVED AND SOLVED PROBLEMS IN SET THEORY (1971) (31)
- Notes on Sum-Free and Related Sets (1999) (31)
- On a Conjecture of Hammersley (1953) (31)
- On the bases with an exact order (1980) (31)
- Problems and results on additive properties of general sequences. II (1986) (31)
- Paul Erdös : the art of counting : selected writings (1973) (30)
- On Sum Sets of Sidon Sets, 1. (1994) (30)
- On a problem of Tamas Varga (1992) (30)
- Some further statistical properties of the digits in Cantor's series (1959) (30)
- On additive properties of general sequences (1994) (30)
- On the equality of the grundy and ochromatic numbers of a graph (1987) (30)
- Problems and Results on Diophantine Approximations (1964) (30)
- On a Problem in the Elementary Theory of Numbers (1934) (30)
- Some Bounds for the Ramsey-Paris-Harrington Numbers (1981) (30)
- Some remarks on almost periodic transformations (1945) (30)
- Some diophantine equations with many solutions (1988) (30)
- On the number of false witnesses for a composite number (1986) (30)
- Arithmetical properties of permutations of integers (1983) (29)
- On some metric and combinatorial geometric problems (1986) (29)
- Partitions of the plane into sets having positive measure in every non-null measurable product set (1955) (29)
- Some results on diophantine approximation (1959) (29)
- On a classification of denumerable order types and an application to the partition calculus (1962) (28)
- Some recent problems and results in graph theory (1997) (28)
- Euclidean Ramsey theorems III: Infinite and finite sets (1973) (28)
- Low-Temperature Thermal Conductivity of Impure Insulators (1969) (28)
- Simple one-point extensions of tournaments (1972) (28)
- The nonexistence of certain invariant measures (1976) (28)
- An extremal problem in the theory of interpolation (1964) (28)
- Corrections to Two of My Papers (1943) (28)
- On graphical partitions (1993) (28)
- Some new problems and results in Graph Theory and other branches of Combinatorial Mathematics (1981) (28)
- Optima of dual integer linear programs (1988) (28)
- On Weird and Pseudoperfect Numbers (1974) (27)
- ON TRIGONOMETRIC SUMS WITH GAPS by (2004) (27)
- Ramanujan sums and almost periodic functions (1940) (27)
- A generalization of a theorem of besicovitch (1936) (27)
- On cycles in the coprime graph of integers (1996) (27)
- On the Irrationality of Certain Ahmes Series (1963) (27)
- Spiraling the Earth with C. G. J. Jacobi (2000) (27)
- On the least primitive root of a prime. (1957) (26)
- Finite linear spaces and projective planes (1983) (26)
- Problems for Solution: 4065-4069 (1943) (26)
- Problems and Results on Random Walks (1987) (26)
- Some Old and New Problems in Combinatorial Geometry (1984) (26)
- Turán-Ramsey theorems and simple asymptotically extremal structures (1993) (26)
- On a Ramsey type theorem (1972) (26)
- Graph theory and combinatorics, 1988 : proceedings of the Cambridge Combinatorial Conference in honour of Paul Erdős (1984) (26)
- Personal reminiscences and remarks on the mathematical work of Tibor Gallai (1982) (26)
- On the complete subgraphs of graphs defined by systems of sets (1966) (26)
- Über die Primzahlen gewisser arithmetischer Reihen (1935) (25)
- On some applications of graph theory, I (1972) (25)
- On Polynomials With Only Real Roots (1939) (25)
- On product representations of powers, I (1995) (25)
- Variations on the theme of repeated distances (1990) (25)
- A local density condition for triangles (1994) (25)
- Trees in random graphs (1983) (25)
- On the sequence of numbers of the form $ε₀ + ε₁q + ... + ε_nq^n$, $ε_i ∈ {0,1}$ (1998) (25)
- On some problems of a statistical group theory VII (1972) (25)
- On a problem in combinatorial geometry (1982) (25)
- Some remarks on number theory (1965) (25)
- Bounds for arrays of dots with distinct slopes or lengths (1992) (25)
- Problems and Results in Number Theory and Graph Theory (25)
- On the law of the iterated logarithm. II (1955) (25)
- Note on Products of Consecutive Integers (1939) (25)
- ON A COMBINATORIAL PROBLEM . 11 (2004) (25)
- On locally repeated values of certain arithmetic functions, I (1985) (25)
- On the Hausdorff dimension of some sets in Euclidean space (1946) (25)
- ON COMPLETE TOPOLOGICAL SUBGRAPHS OF CERTAIN GRAPHS (1969) (25)
- The Giant Component 1960-1993 (1993) (24)
- Saturated r-uniform hypergraphs (1991) (24)
- On the graph of large distances (1989) (24)
- Turán-Ramsey Theorems and Kp-Independence Numbers (1994) (24)
- Ramsey bounds for graph products (1971) (24)
- On Some Asymptotic Formulas in The Theory of The "Factorisatio Numerorum" (1941) (24)
- How to decrease the diameter of triangle-free graphs (1998) (24)
- On Primitive Abundant Numbers (1935) (24)
- Chromatic number of finite and infinite graphs and hypergraphs (1985) (24)
- On the density of odd integers of the form (p − 1)2−n and related questions (1979) (23)
- On the residues of products of prime numbers (1987) (23)
- On the density of the abundant numbers (1934) (23)
- On some properties of Hamel bases (1963) (23)
- AN EXTREMAL PROBLEM IN GENERALIZED RAMSEY THEORY (1980) (23)
- On asymptotic properties of aliquot sequences (1976) (23)
- Changes of sign of sums of random variables (1953) (23)
- An extremal graph problem (1972) (23)
- Subgraphs of minimal degree k (1990) (23)
- Ramsey-minimal graphs for multiple copies (1978) (22)
- On some new questions on the distribution of prime numbers (1948) (22)
- The arithmetic mean of the divisors of an integer (1981) (22)
- On the existence of two non-neighboring subgraphs in a graph (1985) (22)
- Multipartite graph—Sparse graph Ramsey numbers (1985) (22)
- Very slowly varying functions (1972) (22)
- Clique partitions and clique coverings (1988) (22)
- Some remarks concerning our paper „On the structure of set-mappings” —Non-existence of a two-valued σ-measure for the first uncountable inaccessible cardinal (1962) (22)
- ON SOME APPLICATIONS OF GRAPH THEORY TO NUMBER THEORETIC PROBLEMS DEDICATED TO THE MEMORY OF (1969) (22)
- Some remarks on set theory. VIII. (1953) (22)
- On the distribution of numbers of the form $\sigma(n)/n$ and on some related questions. (1974) (22)
- Ramsey numbers for the pair sparse graph-path or cycle (1982) (22)
- A CLASS OF RAMSEY-FINITE GRAPHS (2004) (21)
- Problems and results on additive properties of general sequences, V (1986) (21)
- Lagrange's Theorem and Thin Subsequences of Squares (1981) (21)
- Intersection Statements for Systems of Sets (1997) (21)
- On the representation of large integers as sums of distinct summands taken from a fixed set (1962) (21)
- On the Number of Times an Integer Occurs as a Binomial Coefficient (1974) (21)
- On the largest prime factors ofn andn + 1 (1978) (21)
- On the Uniform Distribution of the Roots of Certain Polynomials (1942) (21)
- The Minimal Regular Graph Containing a Given Graph (1963) (21)
- Has every Latin square of order n a partial Latin transversal of size n -1? (1988) (21)
- On total matching numbers and total covering numbers of complementary graphs (1977) (21)
- On sets of almost disjoint subsets of a set (1968) (21)
- Floating equilibrium of symmetrical objects and the breaking of symmetry. Part 1: Prisms (1992) (21)
- Degree sequences in triangle-free graphs (1991) (21)
- COMBINATORIAL PROBLEMS IN GEOMETRY AND NUMBER THEORY (1979) (21)
- On the arithmetical density of the sum of two sequences one of which forms a basis for the integers (1935) (21)
- INVERSE EXTREMAL DIGRAPH PROBLEMS (1984) (21)
- On differences and sums of integers, I (1978) (21)
- A Theorem in the Partition Calculus (1972) (20)
- Oscillations of bases for the natural numbers (1975) (20)
- Clique coverings of the edges of a random graph (1993) (20)
- On a perfect set (1957) (20)
- ON CANTOR ' S SERIES WITH CONVERGENT By (2004) (20)
- Bases for sets of integers (1977) (20)
- Domination in colored complete graphs (1989) (20)
- On Subgraphs of the Complete Bipartite Graph (1964) (20)
- Remarks on the $(R)$-density of sets of numbers. II (1997) (20)
- Greedy algorithm, arithmetic progressions, subset sums and divisibility (1999) (20)
- On the recurrence of a certain chain (1968) (20)
- Some combinational problems in geometry (1980) (19)
- An extremal problem on the set of noncoprime divisors of a number (1970) (19)
- The size Ramsey number of a complete bipartite graph (1993) (19)
- On Some of My Conjectures in Number Theory and Combinatorics (19)
- Quantitative Forms of a Theorem of Hilbert (1985) (19)
- A conjecture in elementary number theory (1944) (19)
- Some Applications of Ramsey's Theorem to Additive Number Theory (1980) (19)
- Bounds for the R-th Coefficients of Cyclotomic Polynomials (1974) (19)
- Intersection theorems for systems of sets (III) (1974) (19)
- A Ramsey problem of Harary on graphs with prescribed size (1987) (19)
- Remarks on the theory of diophantine approximation (1958) (19)
- On sums of a Sidon-sequence (1991) (19)
- On a Conjecture of Roth and Some Related Problems I (1989) (18)
- On sum sets of sidon sets, II (1995) (18)
- A probabilistic approach to problems of Diophantine approximation (1957) (18)
- Some of my Favourite Problems in Number Theory, Combinatorics, and Geometry (1995) (18)
- On the small sieve. I. Sifting by primes (1980) (18)
- On the Asymptotic Density of the Sum of Two Sequences (1942) (18)
- On divisibility properties of integers of the forma+á (1987) (18)
- ON SUMS INVOLVING RECIPROCALS OF THE LARGEST PRIME FACTOR OF AN INTEGER (2004) (18)
- Extremal Ramsey theory for graphs (1976) (18)
- On the prime factors of (²ⁿ_{}) (1975) (18)
- Ramsey Problems Involving Degrees in Edge-colored Complete Graphs of Vertices Belonging to Monochromatic Subgraphs (1993) (18)
- On a Problem of I. Schur (1942) (18)
- A class of Hamiltonian regular graphs (1978) (18)
- On Almost Bipartite Large Chromatic Graphs (1982) (18)
- On collections of subsets containing no 4-member Boolean algebra. (1971) (17)
- On the largest prime factors ofn andn + 1 (1978) (17)
- Complete subgraphs of chromatic graphs and hyper-graphs (1974) (17)
- An Extremal Problem (1992) (17)
- Edge disjoint monochromatic triangles in 2-colored graphs (2001) (17)
- Systems of distinct representatives and minimal bases in additive number theory (1979) (17)
- On the greatest prime factor of $2^p - 1$ for a prime p and other expressions (1976) (17)
- A note on the interval number of a graph (1985) (17)
- Split and balanced colorings of complete graphs (1999) (17)
- New Ramsey Bounds from Cyclic Graphs of Prime Order (1997) (17)
- Minimal decompositions of graphs into mutually isomorphic subgraphs (1981) (17)
- An Extremal Problem of Graphs with Diameter 2 (1975) (17)
- Partition Relations and Transitivity Domains of Binary Relations (1967) (17)
- Some Problems and Results on Combinatorial Number Theory (1989) (17)
- Note on the Number of Prime Divisors of Integers (1937) (17)
- On the maximum modulus of entire functions (1956) (17)
- On the number of distinct induced subgraphs of a graph (1989) (17)
- Chromatic Number Versus Cochromatic Number in Graphs with Bounded Clique Number (1990) (17)
- Some applications of graph theory to number theory (1969) (17)
- Über die Zahlen der Form ...(n) - n und n - ...(n). (1973) (17)
- Distinct distances between lattice points (1970) (17)
- Decompositions of Complete Graphs into Factors with Diameter Two (1971) (17)
- Repeated distances in space (1988) (17)
- Goodness of trees for generalized books (1987) (17)
- Monochromatic and zero-sum sets of nondecreasing diameter (1995) (17)
- On Refining Partitions (1975) (16)
- On partitions of lines and space (1994) (16)
- And X, Some Extremal Problems in Geometry Iii (16)
- On A Combinatorial Problem III (1969) (16)
- Some Problems and Results in Cochromatic Theory (1993) (16)
- Maximal antiramsey graphs and the strong chromatic number (1989) (16)
- Some old and new problems in approximation theory: Research problems 95-1 (1995) (16)
- Upper Bound of ∑1/(a i loga i ) for Primitive Sequences (1993) (16)
- On the Converse of Fermat's Theorem (1949) (16)
- Products of integers in short intervals (1984) (16)
- On the distribution of the convergents of almost all real numbers (1970) (16)
- Problems for Solution: 3739-3743 (1935) (16)
- Some combinatorial, geometric and set theoretic problems in measure theory (1984) (16)
- DENOMINATORS OF EGYPTIAN FRACTIONS II (1976) (16)
- SOME EXAMPLES IN ERGODIC THEORY (1959) (16)
- Remarks on number theory I. On primitive α-abundant numbers (1959) (16)
- On a Theorem in the Theory of Relations and a Solution of a Problem of Knaster (1961) (16)
- Partitions into parts which are unequal and large (1989) (16)
- On sequences of integers generated by a sieving process (1958) (16)
- K-PATH IRREGULAR GRAPHS (2005) (15)
- The star number of coverings of space with convex bodies (1964) (15)
- Ramanujan and I (1998) (15)
- The neural basis of the locomotion of nematodes (1990) (15)
- The covering of n-dimensional space by spheres (1953) (15)
- Sums of distinct unit fractions (1963) (15)
- On k-saturated graphs with restrictions on the degrees (1996) (15)
- On some of my favourite problems in graph theory and block designs (1991) (15)
- Paul Turán, 1910-1976: His work in graph theory (1977) (15)
- SOME PROBLEMS AND RESULTS IN NUMBER THEORY (2004) (15)
- On the lower limit of sums of independent random variables (1947) (15)
- New bounds on the length of finite pierce and Engel series (1991) (15)
- Note on the euclidean algorithm (1938) (15)
- The number of cycle lengths in graphs of given minimum degree and girth (1999) (15)
- On locally repeated values of certain arithmetic functions. III (1987) (15)
- Integral Functions with Gap Power Series (1954) (15)
- SIZE RAMSEY NUMBERS INVOLVING MATCHINGS (1984) (14)
- Covering and independence in triangle structures (1996) (14)
- Partition Relations Connected with the Chromatic Number of Graphs (1959) (14)
- On the greatest and least prime factors of $n!+1$. II. (1976) (14)
- Sets of natural numbers of positive density and cylindric set algebras of dimension 2 (1981) (14)
- On Some Aspects of my Work with Gabriel Dirac (1988) (14)
- SOME OF MY FAVORITE SOLVED AND UNSOLVED PROBLEMS IN GRAPH THEORY (1993) (14)
- Remarks on number theory II. Some problems on the σ function (1959) (14)
- Distinct Distances Determined By Subsets of a Point Set in Space (1991) (14)
- On the number of zeros of successive derivatives of analytic functions (1956) (14)
- Theory of graphs : proceedings of the colloquium, held at Tihany, Hungary, September, 1966 (1968) (14)
- On the values of Euler's φ-function (1973) (14)
- Isomorphic subgraphs in a graph (1988) (14)
- Visible vs. disguised keying on questionnaires. (1977) (14)
- A theorem on partial well-ordering of sets of vectors (1959) (14)
- Graphs of diameter two with no 4-circuits (1999) (14)
- Hypercube subgraphs with minimal detours (1996) (14)
- On Some Divisibility Properties of (2n n) (1964) (14)
- On some applications of probability to analysis and number theory (1964) (14)
- On An Extremal Problem Concerning Primitive Sequences (1967) (14)
- On the sum of two Borel sets (1970) (14)
- The asymptotic behavior of a family of sequences (1987) (14)
- Some Remarks and Problems in Number Theory Related to the Work of Euler (1983) (14)
- On Almost Primes (1950) (14)
- Infinite and finite sets : to Paul Erdős on his 60th birthday (1975) (14)
- On a problem of Chowla and some related problems (1936) (14)
- On the strong law of large numbers (1949) (14)
- On Elements of Sumsets with Many Prime Factors (1993) (14)
- Note on some elementary properties of polynomials (1940) (14)
- Lattice distortion and quadrupolar ordering in UO/sub 2/ (1980) (14)
- Residually-Complete Graphs (1980) (14)
- Multiplicities of Interpoint Distances in Finite Planar Sets (1995) (14)
- On additive partitions of integers (1978) (14)
- Lagrange’s theorem with ^{1/3} squares (1980) (13)
- Some Remarks on Prime Factors of Integers (1959) (13)
- Reconstructing Words from Subwords in Linear Time (2005) (13)
- Some Unconventional Problems in Number Theory (1979) (13)
- Erdös-Ko-Rado Theorems of Higher Order (2000) (13)
- Some arithmetical properties of the convergents of a continued fraction (1939) (13)
- Gaps in Difference Sets, and the Graph of Nearly Equal Distances (1990) (13)
- Distinct values of Euler's ø-function (1976) (13)
- Problems and results on the theory of interpolation. II (1964) (13)
- Cycles in graphs without proper subgraphs of minimum degree 3 (13)
- On the probability that n. and g(n) are relatively prime (1959) (13)
- A Problem Concerning the Zeros of a Certain Kind of Holomorphic Function in the Unit Disk. (1964) (13)
- Countable Decompositions of R2 and R3 (1990) (13)
- On a Problem of Groübaum (1972) (13)
- How Many Pairs of Products of Consecutive Integers Have the Same Prime Factors (1980) (13)
- On the distribution of prime divisors (1968) (13)
- On the prime factorization of binomial coefficients (1978) (13)
- On the Fundamental Problem of Mathematics (1972) (13)
- Disjoint cliques and disjoint maximal independent sets of vertices in graphs (1982) (13)
- On a theorem of Behrend (1967) (13)
- Monochromatic infinite paths (1993) (13)
- Intersections of prescribed power, type, or measure (1955) (13)
- Some of my new and almost new problems and results in combinatorial number theory (1998) (13)
- Problems for Solution: 3758-3763 (1935) (13)
- Finding Large p-Colored Diameter Two Subgraphs (1999) (13)
- Hamiltonian cycles in regular graphs of moderate degree (1977) (13)
- New Advances in Transcendence Theory: On the irrationality of certain series: problems and results (1988) (13)
- On a metric generalization of ramsey’s theorem (1995) (12)
- Low-Temperature Thermal Conductivity of Insulators Containing Impurities (1965) (12)
- Problems and results on minimal bases in additive number theory (1987) (12)
- Arithmetic progressions in subset sums (1992) (12)
- On a Quasi-Ramsey problem (1983) (12)
- Local connectivity of a random graph (1983) (12)
- Sequences of points on a circle (1949) (12)
- RATIONAL APPROXIMATION ON THE POSITIVE REAL AXIS (1975) (12)
- Extremal problems on graphs and hypergraphs (1974) (12)
- Complete sequences of sets of integer powers (1996) (12)
- A problem on ordered sets (1953) (12)
- The Existence of a Distribution Function for an Error Term Related to the Euler Function (1955) (12)
- Embedding theorems for graphs establishing negative partition relations (1978) (12)
- On sets of coprime integers in intervals (1993) (12)
- Some remarks on the iterates of the φ and σ functions (1967) (12)
- Denominators of Egyptian fractions (1976) (12)
- On some unconventional problems on the divisors of integers (1978) (12)
- On Pisier Type Problems and Results (Combinatorial Applications to Number Theory) (1990) (12)
- On definite quadratic forms, which are not the sum of two definite or semi-definite forms (1939) (12)
- Note on the Transfinite Diameter (1937) (12)
- Non complete sums of multiplicative functions (1971) (12)
- Problems and results on chromatic numbers in finite and infinite graphs (1985) (12)
- A lower bound for the counting function of Lucas pseudoprimes (1988) (12)
- ON THE ASYMPTOTIC BEHAVIOR OF LARGE PRIME FACTORS OF INTEGERS (1979) (12)
- On maximal triangle-free graphs (1994) (12)
- Bemerkungen zu einer Aufgabe in den Elementen (1976) (11)
- Bandwidth versus Bandsize (1988) (11)
- Random-network models of the conductance of disordered condensed matter (1976) (11)
- On linear independence of sequences in a Banach space. (1953) (11)
- Some remarks on subgroups of real numbers (1979) (11)
- On power series diverging everywhere on the circle of convergence. (1955) (11)
- Extremal clique coverings of complementary graphs (1986) (11)
- On 2-Designs (1985) (11)
- Some number theoretic results (1971) (11)
- On Divergence Properties of the Lagrange Interpolation Parabolas (1941) (11)
- On some problems of astatistical group theory V (1971) (11)
- 1 . Problems and Results in Number Theory (11)
- ON PRODUCTS OF FACTORIALS BY (1976) (11)
- Graphs with unavoidable subgraphs with large degrees (1988) (11)
- Partitions of the natural numbers into infinitely oscillating bases and nonbases (1976) (11)
- On the connection between gaps in power series and the roots of their partial sums (1947) (11)
- Problems and Results on Polynomials and Interpolation (1980) (11)
- über ein Extremalproblem in der Graphentheorie (1962) (11)
- Multiplicative Functions and Small Divisors, II (1989) (11)
- Some problems on the prime factors of consecutive integers (1967) (11)
- On the number of partitions of n without a given subsum (I) (1989) (11)
- Vertex coverings of the edge set in a connected graph (1995) (11)
- Some Applications of Probability Methods to Number Theory (1985) (11)
- On a class of aperiodic sum-free sets (1996) (11)
- On Sums Involving Reciprocials Of Certain Arithmetical Functions (1982) (11)
- On the Smoothness of the Asymptotic Distribution of Additive Arithmetical Functions (1939) (11)
- Ordinary partition relations for ordinal numbers (1971) (11)
- Some remarks on connected sets (1944) (10)
- On some general problems in the theory of partitions, I (1971) (10)
- Convex nonagons with five intervertex distances (1996) (10)
- Einige Bemerkungen zur Arbeit von A. Stöhr:„Gelöste und ungelöste Fragen über Basen der natürlichen Zahlenreihe“. (1957) (10)
- Extremal problems and generalized degrees (1994) (10)
- On a problem in extremal graph theory (1977) (10)
- A FOURIER INVERSION FORMULA FOR EVOLUTIONARY TREES (1993) (10)
- Enumeration of intersecting families (1984) (10)
- On the boundedness and unboundedness of polynomials (1967) (10)
- Floating equilibrium of symmetrical objects and the breaking of symmetry. Part 2: The cube, the octahedron, and the tetrahedron (1992) (10)
- Some old and new problems on additive and combinatorial number theory (1989) (10)
- A problem in covering progressions (1994) (10)
- PROBLEMS AND RESULTS ON T ' HE CONVERGENCE AND DIVERGENCE PROPERTIES OF THE LAGRANGE INTERPOLATION POLYNOMIALS AND SOME EXTREMAL PROBLEMS (10)
- On some problems of J. Dénes and P. Turán (1983) (10)
- Nearly Equal Distances in the Plane (1993) (10)
- The Ramsey number for the pair complete bipartite graph-graph of limited degree (1985) (10)
- On unavoidable hypergraphs (1987) (10)
- Low-Temperature Thermal Conductivity of Ferromagnetic Insulators Containing Impurities (1965) (10)
- The Book-Tree Ramsey Numbers (2004) (10)
- Extremal theory and bipartite graph-tree Ramsey numbers (1988) (10)
- On equations with sets as unknowns. (1968) (10)
- On the mean value of nonnegative multiplicative number-theoretical functions. (1965) (10)
- Fat, Symmetric, Irrational Cantor Sets (1981) (10)
- Restricted cluster sets (1960) (10)
- NONBASES OF DENSITY ZERO NOT CONTAINED IN MAXIMAL NONBASES (1977) (10)
- A new function associated with the prime factors of (ⁿ_ (1974) (10)
- REMARKS ON A THEOREM OF RAMSAY (1957) (10)
- Ramsey-remainder (1996) (10)
- Reducible sums and splittable sets (1990) (10)
- On Differences and sums of Integers, II (1977) (10)
- On a Problem in Elementary Number Theory and a Combinatorial Problem (1964) (10)
- Dual integer linear programs and the relationship between their optima (1985) (10)
- On Some Applications of Graph Theory III (1972) (10)
- Some Ramsey-type theorems (1991) (10)
- On some of my problems in number theory i would most like to see solved (1985) (10)
- AN ELEMENTARY INEQUALITY BETWEEN THE PROBABILITIES OF EVENTS (1963) (10)
- Ulam, the man and the mathematician (1985) (9)
- On perfect and multiply perfect numbers (1956) (9)
- Proof of a conjecture about the distribution of divisors of integers in residue classes (1976) (9)
- On the sum Σd|2n−1d−1 (1971) (9)
- Collected Papers of Paul Turan (1990) (9)
- Independent Transversals in Sparse Partite Hypergraphs (1994) (9)
- Ramsey's theorem and self-complementary graphs (1972) (9)
- On random entire functions (1969) (9)
- On the densities of sets of multiples. (1994) (9)
- Four papers on probability (1951) (9)
- Countable decompositions ofR2 andR3 (1990) (9)
- On an Elementary Problem in Number Theory (1958) (9)
- The Asymmetric Propeller (1973) (9)
- The factor-difference set of integers (1997) (9)
- Random walks on Z 2 n (1988) (9)
- On unavoidable graphs (1983) (9)
- Minimal asymptotic bases with prescribed densities (1988) (9)
- Note on the converse of fabry’s gap theorem (1945) (9)
- Problems and results in discrete mathematics (1994) (9)
- On the number of divisors of n (1996) (9)
- Minimal Asymptotic Bases for the Natural Numbers (1980) (9)
- Nearly non-magnetic kramers doublet as crystal field ground state in NpO2☆ (1980) (9)
- On the expansion 1=Σq−ni (1991) (9)
- The topologization of a sequence space by Toeplitz matrices. (1958) (9)
- On the Greatest Prime Factor of ∏k=1xf(k) (1952) (9)
- Any four independent edges of a 4-connected graph are contained in a circuit (1985) (9)
- On multiplicative representations of integers (1976) (9)
- Ein Nachtrag über befreundete Zahlen. (1975) (9)
- The Representation of an Integer as the Sum of the Square of a Prime and of a Square-Free Integer (1935) (9)
- Computer simulation in brain science: Computer simulation of networks of electrotonic neurons (1988) (9)
- An intersection property of sets with positive measure (1963) (9)
- On a question about sum-free sequences (1999) (8)
- Induced subgraphs of given sizes (1999) (8)
- On cliques in graphs (1966) (8)
- OnTaylor series of functions regular inGaier regions (1954) (8)
- A Ramsey‐type problem and the Turán numbers * (2002) (8)
- Partition Relations for ηα‐sets (1971) (8)
- Sets of divergence of Taylor series and of trigonometric series (1954) (8)
- Intersection Graphs for Families of Balls in Rn (1988) (8)
- Wave transmission through lattices, superlattices and layered media. (1997) (8)
- The grid revisted (1993) (8)
- Problems for Solution: 4305-4309 (1948) (8)
- On infinite partitions of lines and space (1997) (8)
- On a problem of G. Golomb. (1961) (8)
- Two combinatorial problems in the plane (1995) (8)
- Some Remarks on a Paper of McCarthy (1958) (8)
- On problems of Moser and Hanson (1972) (8)
- Minimal Decompositions of Hypergraphs into Mutually Isomorphic Subhypergraphs (1982) (8)
- Sumsets Containing Infinite Arithmetic Progressions (1988) (8)
- THE AMOUNT OF OVERLAPPING IN PARTIAL COVERINGS OF SPACE BY EQUAL SPHERES (1964) (8)
- On sparse sets hitting linear forms (8)
- On the greatest prime factor of $prod^{x}_{k=1}f(k)$ (1990) (8)
- Note on consecutive abundant numbers (1935) (8)
- Old and New Problems in Combinatorial Number Theory. (1982) (8)
- Combinatorics, geometry, and probability : a tribute to Paul Erdős (1997) (8)
- Sets of natural numbers with no minimal asymptotic bases (1978) (8)
- On Arithmetic Functions Involving Consecutive Divisors (1990) (8)
- On the integral of the Lebesgue function of interpolation. II (1978) (8)
- A Selection of Problems and Results in Combinatorics (1999) (8)
- On unavoidable graphs (1983) (8)
- On a Problem of B . Jónsson (2004) (8)
- On the Number of Triangles Contained in Certain Graphs (1964) (8)
- Problems for Solution: 4458-4462 (1951) (7)
- A problem about prime numbers and the random walk II (1961) (7)
- Sätze und Probleme überpk/k (1962) (7)
- A note on rational approximation (1975) (7)
- Uber Einen Faber'Schen Satz (1938) (7)
- The fractional parts of the bernoulli numbers (1980) (7)
- Local constraints ensuring small representing sets (1991) (7)
- Über die arithmetischen Mittelwerte der Lagrangeschen Interpolationspolynome (1938) (7)
- On the Distribution of Primitive Lattice Points in the Plane (1959) (7)
- On the Integers of the Form xk+yk (1939) (7)
- Small transversals in uniform hypergraphs (1992) (7)
- On the distribution function of additive arithmetical functions and on some related problems (1957) (7)
- Remarks on stars and independent sets (1984) (7)
- Partitions of bases into disjoint unions of bases (1988) (7)
- Ramsey Size Linear Graphs (1993) (7)
- The size of chordal, interval and threshold subgraphs (1989) (7)
- Multipartite Graph‐Tree Ramsey Numbers (1989) (7)
- Extremal problems involving vertices and edges on odd cycles (1992) (7)
- D-complete Sequences of Integers (1996) (7)
- On the Hausdorff measure of Brownian paths in the plane (1961) (7)
- Osculation vertices in arrangements of curves (1973) (7)
- On the representation of an integer as the sum of kk-th powers (1936) (7)
- An Extremum-Problem Concerning Trigonometric Polynomials (7)
- Congruent subsets of infinite sets of natural numbers. (1986) (7)
- Matching the natural numbers up to n with distinct multiples in another interval (1980) (7)
- Elementary Problems: E3427-E3432 (1991) (7)
- On the Maximum of the Fundamental Functions of the Ultraspherical Polynomials (1944) (7)
- Degree sequence and independence in K(4)-free graphs (1995) (7)
- Laconicity and redundancy of Toeplitz matrices (1964) (7)
- Midpoints of Diagonals of Convex n-GONS (1991) (7)
- ASYMPTOTIC BOUNDS FOR IRREDUNDANT RAMSEY NUMBERS (1993) (7)
- A new law of iterated logarithm (1990) (7)
- On a problem of Sierpiński (1965) (7)
- An extremum problem concerning algebraic polynomials (1986) (7)
- ON MAXIMUM CHORDAL SUBGRAPH (1983) (6)
- About an estimation problem of Zahorski (1960) (6)
- On fundamental functions of Lagrangean interpolation (1938) (6)
- The Number of Distinct Subsums of Σ N 1 l/i (1975) (6)
- ON THE PRODUCT OF THE POINT AND LINE COVERING NUMBERS OF A GRAPH (1979) (6)
- Monochromatic sumsets (1989) (6)
- On a problem of L. Fejes Tóth (1980) (6)
- Convergence fields of row-finite and row-infinite Toeplitz transformations (1950) (6)
- Local and global average degree in graphs and multigraphs (1994) (6)
- A theorem on the riemann integral (1952) (6)
- Clique numbers of graphs (1986) (6)
- Concerning periodicity in the asymptotic behaviour of partition functions (1976) (6)
- OLD AND NEW PROBLEMS IN COMBINATORIAL ANALYSIS AND GRAPH THEORY (1979) (6)
- On the number of zeros of successive derivatives of entire functions of finite order (1957) (6)
- Divergence of random power series. (1959) (6)
- RAMSEY NUMBERS FOR BROOMS (1982) (6)
- On the integral of the lebesgue function of interpolation (1978) (6)
- A Class of Edge Critical 4-Chromatic Graphs (1997) (6)
- Behavior of Helical Spin Structures in Applied Magnetic Fields (1970) (6)
- On some Properties of Prime Factors of Integers (1966) (6)
- Distinct distances in finite planar sets (1997) (6)
- Some remarks and corrections to one of my papers (1947) (6)
- On the Divisibility Properties of Sequences of Integers (1970) (6)
- On the roots of a polynomial and its derivative (1948) (6)
- On the Prime Factors of \binom2nn (1975) (6)
- Rational approximation to certain entire functions in $\left[ {0, + \infty } \right)$ (1973) (6)
- Clique Partitions of Chordal Graphs (1993) (6)
- Nuclear magnetic resonance experiments and theory of the magnetic properties of NaCrS2 (1969) (5)
- Diagonals of nonegative matrices (1973) (5)
- Minimum-diameter cyclic arrangements in mapping data-flow graphs onto VLSI arrays (1988) (5)
- Vertex covering with monochromatic paths (1995) (5)
- Sizes of graphs with induced subgraphs of large maximum degree (1996) (5)
- Families of sets whose pairwise intersections have prescribed cardinals or order types (1976) (5)
- 1 The Erdős-Rényi Phase Transition In their great 1960 work On the Evolution of Random Graphs (5)
- Some additive and multiplicative problem sin number theory (1975) (5)
- Wesentliche Komponenten bei Gitterpunktmengen. (1957) (5)
- The α+β Hypothesis and Related Problems (1946) (5)
- Distributions of the values of some arithmetical functions (1961) (5)
- Problems and Results on Ranssey-turan Type Theorems Preliminary Report (5)
- Extremal problems on permutations under cyclic equivalence (1987) (5)
- SOME REMARKS ON SET THEORY IV (2004) (5)
- Schlicht Taylor series whose convergence on the unit circle is uniform but not absolute. (1951) (5)
- The Art of Counting. (Selected Writings edited by Joel Spencer). (1974) (5)
- On the number of pairs of partitions of n without common subsums (1992) (5)
- Müntz's theorem and rational approximation (1976) (5)
- Values of the divisor function on short intervals (1980) (5)
- Completeness Properties of Perturbed Sequences (1981) (5)
- Some probabilistic remarks on Fermat's last theorem (1971) (5)
- Change of Leadership in a Random Graph Process (1994) (5)
- Some personal reminiscences of the mathematical work of Paul Turán (1980) (5)
- Estimates of the least prime factor of a binomial coefficient (1993) (5)
- PRIMES AT A (SOMEWHAT LENGTHY) GLANCE (1997) (5)
- Rational approximation, II (1978) (5)
- Addendum to "trees in random graphs" (1984) (5)
- On the least primitive root of a prime $p$ (1945) (5)
- The probability method: Successes and limitations (1998) (5)
- Ordinal Partition Behavior of Finite Powers of Cardinals (1993) (5)
- Some new problems and results in number theory (1982) (5)
- On the solvability of the equations [ai, aj] = ar and (a′i, a′j) = a′r in sequences of positive density (1966) (5)
- Large and small subspaces of Hilbert space. (1965) (5)
- Sequences of linear fractional transformations. (1959) (5)
- On Nilpotent but Not Abelian Groups and Abelian but Not Cyclic Groups (1988) (5)
- Contributions to the Theory of Capitalist Money Business Fluctuations and Crises (1971) (5)
- Some unconventional problems in number theory (1979) (5)
- The Combinatorics of Evolutionary Trees-a Survey (1992) (5)
- Intervertex Distances in Convex Polygons (1995) (5)
- On Tchebycheff Quadrature (1965) (5)
- On k -saturated graphs with restrictions on the degrees (1996) (5)
- A Theorem in the Partition Calculus Corrigendum (1974) (5)
- INTERSECTION PROPERTIES OF FAMILIES CONTAINING SETS OF NEARLY THE SAME SIZE (1983) (5)
- Some generalizations of Property B and the splitting property (1999) (5)
- On a high-indices theorem in Borel summability (1956) (5)
- On the growth of the cyclotomic polynomial in the interval (0, 1) (1957) (5)
- Problems and results in rational approximation (1976) (5)
- THE INSOLUBILITY OF CLASSES OF DIOPHANTINE EQUATIONS . (1954) (5)
- On additive bases (1976) (5)
- A new approach to the phase transition in NpO2: Model with trivalent Np ions (1981) (4)
- Resistance of a one-dimensional periodic chain of random potentials (1996) (4)
- Note on an elementary problem of interpolation (1938) (4)
- Graphs with certain families of spanning trees (1982) (4)
- SELECTIVITY OF HYPERGRAPHS (1984) (4)
- The number of distinct subsums of ∑₁^{}1/ (1975) (4)
- Pseudo-LYM Inequalities and AZ Identities (1997) (4)
- On the Möbius function. (1980) (4)
- Some Problems On Consecutive Prime Numbers (1972) (4)
- On the easier Waring problem for powers of primes. I (1937) (4)
- Arithmetical Tauberian theorems (1964) (4)
- On the orders of directly indecomposable groups (1999) (4)
- On certain saturation problems (1989) (4)
- Prime power divisors of binomial coefficients (1999) (4)
- A 3-part Sperner theorem (1987) (4)
- Fourier Calculus on Finite Sets and Evolutionary Trees (1991) (4)
- On the divisibility properties of sequences of integers (II) (1968) (4)
- Cross-cuts in the power set of an infinite set (1984) (4)
- The Solution to a Problem of Grünbaum (1988) (4)
- A postscript on distances in convexn-gons (1994) (4)
- Bases and Nonbases of Square-Free Integers (1979) (4)
- Some of My Favourite Problems Which Recently have Been Solved (1982) (4)
- N is a number : a portrait of Paul Erdös : a documentary film (2000) (4)
- On Locally Repeated Values of Certain Arithmetic Functions, IV (1997) (4)
- Some solved and unsolved problems in combinatorial number theory, ii (1993) (4)
- Density functions for prime and relatively prime numbers (1977) (4)
- Über einige Probleme der additiven Zahlentheorie. (1961) (4)
- On practical partitions (1995) (4)
- Remarks and corrections to my paper ``Some remarks on a paper of McCarthy`` (1960) (4)
- An Extremal Result for Paths a (1989) (4)
- Bounds on threshold dimension and disjoint threshold coverings (1987) (4)
- Some extremal problems on families of graphs and related problems (1978) (4)
- On Disjoint Sets of Differences (1984) (4)
- Euler's ø-function and its iterates (1977) (4)
- DISCRETE PROBLEMS PROBLEMS AND RESULTS IN COMBINATORIAL GEOMETRY ° (1985) (4)
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- Some distribution problems concerning the divisors of integers (1974) (4)
- Sure monochromatic subset sums (1996) (4)
- k-Connectivity in Random Graphs (1987) (4)
- Toeplitz methods which sum a given sequence (1946) (4)
- Comparison of the thermal properties of two-dimensional periodic and aperiodic lattice models (1989) (4)
- On the Irrationality of Certain Series (1957) (4)
- On Large Values of the Divisor Function (1998) (4)
- Upper bound of $\sum 1/(a\sb i\log a\sb i)$ for primitive sequences (1993) (4)
- A New Method for the Solution of the Transport Equation in Slab Geometry (1970) (4)
- On the number of solutions of f(n) = a for additive functions (1973) (4)
- Splitting property in infinite posets (1997) (4)
- Two problems in extremal graph theory (1986) (4)
- Bond configurations in the Peierls–Hubbard model of small ring-shaped molecules (1999) (4)
- On certain variations of the harmonic series (1945) (4)
- Independence of solution sets and minimal asymptotic bases (1995) (4)
- Problems and results in discrete mathematics (1994) (4)
- On the iterates of some arithmetic functions (1972) (4)
- Some asymptotic formulas for multiplicative functions (1947) (4)
- On the number of positive integers $\leq x$ and free of prime factors $>y$ (1966) (4)
- Interaction between heavy electrons mediated by itinerant electrons in the asymmetric Hubbard model (1995) (4)
- SOME REMARKS ON DIOPHANTINE APPROXIMATIONS (2004) (4)
- Reciprocals of Certain Large Additive Functions (1981) (4)
- Neutron spectroscopy and anisotropy of the magnetic properties of UOS: interpretation in a crystal-field and molecular-field model (1995) (4)
- Investigations on the reaction7Li(γ, α)3H (1954) (4)
- On the growth of some additive functions on small intervals (1979) (4)
- Upper bounds on linear vertex-arboricity of complementary graphs (1997) (3)
- Scales of functions (1960) (3)
- On the number of unique subgraphs of a graph (1972) (3)
- MORE RESULTS ON SUBGRAPHS WITH MANY SHORT CYCLES (1984) (3)
- Crystal field effects and shielding of uranium ions (1979) (3)
- Proof of a Conjecture of Bollob's on Nested Cycles (1996) (3)
- On the average ratio of the smallest and largest prime divisor of n (1982) (3)
- On large intersecting subfamilies of uniform setfamilies (2003) (3)
- On admissible constellations of consecutive primes (1988) (3)
- Exhausting an area with discs (1974) (3)
- On Some Applications of Graph Theory , II (2001) (3)
- Advanced Problems: 6673-6675 (1991) (3)
- Advanced Problems: 5720-5726 (1970) (3)
- On a geometric property of Lemniscates (1978) (3)
- Applications of Probabilistic Methods to Graph Theory (3)
- THE HAUSDORFF MEASURE OF THE INTERSECTION OF SETS OF POSITIVE LEBESGUE MEASURE (1963) (3)
- Some of my forgotten problems in number theory. (1992) (3)
- Some asymptotic formulas on generalized divisor functions, II (1982) (3)
- Generalized Ramsey Numbers Involving Subdivision Graphs, And Related Problems in Graph Theory* (1980) (3)
- Very slowly varying functions (1972) (3)
- On Abundant-Like Numbers (1974) (3)
- Strongly annular functions with small coefficients, and related results (1977) (3)
- Heat Conductivity in Cylindrical Samples (1971) (3)
- On a Problem of Straus (1990) (3)
- Tauberian theorems for sum sets (1964) (3)
- Some Results on Definite Quadratic Forms (1938) (3)
- ON THE DISTRIBUTION OF DIVISORS OF INTEGERS IN THE RESIDUE CLASSES ( MOD d ) (2004) (3)
- A note on Ingham's summation method (1978) (3)
- Problems and Results on Finite and Infinite Combinatorial Analysis Ii (3)
- A New Function Associated with the Prime Factors of \binomnk (1974) (3)
- On almost divisibility properties of sequences of integers. I (1983) (3)
- Correction of some misprints in our paper (1981) (3)
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- Asymptotische Untersuchungen über die Anzahl der Teiler vonn (1967) (3)
- Subsets of an interval whose product is a power (1999) (3)
- On the area of the circles covered by a random walk (1988) (3)
- Addendum to “Rational Approximation” (1977) (3)
- Über die Anzahl der Lösungen von [p−1,q−1]≤x (1955) (3)
- The chromatic index of an infinite complete hypergraph: A partition theorem (1974) (3)
- Independence of Solution Sets in Additive Number Theory (1986) (3)
- Some Remarks on Ramsay's Theorem (1964) (3)
- On the Sum and Difference of Squares of Primes (II) (1937) (3)
- A STUDY OF ELASTOMER CROSS-LINKING WITH PEROXIDES (1985) (3)
- Factorizing the Complete Graph into Factors with Large Star Number (1975) (3)
- A note on the quantum-statistical Brillouin-Wigner perturbation theory (1967) (3)
- ON THE SUM AND DIFFERENCE OF SQUARES OF PRIMES ( II ) (3)
- A Ramsey-type property in additive number theory (1985) (3)
- On ensembles represented by partitions of whole n. (1999) (3)
- Problems and results on consecutive integers and prime factors of binomial coefficients (1985) (3)
- Computer simulation of the motor-neural system of a simple invertebrate (1988) (3)
- Entire functions bounded outside a finite area (1985) (3)
- Some applications of probability methods to number theory. Successes and limitations (1990) (3)
- A Note on Triangle-Free Graphs (1996) (3)
- Partitions into Summands of the Form [ma] (3)
- On a problem of P. Erdos and S. Stein (1968) (3)
- SUBGRAPHS IN WHICH EACH PAIR OF EDGES LIES IN A SHORT COMMON CYCLE (1982) (3)
- Matchings from a set below to a set above (1991) (3)
- Some British Experiences (1952) (2)
- On the uniform but not absolute convergence of power series with gaps (1952) (2)
- On a Conjecture of Klee (1951) (2)
- Über die Anzahl der Primfaktoren von $$\left( {\begin{array}{*{20}c} n \\ k \\ \end{array} } \right)$$ (1973) (2)
- Subgraphs of large minimal degree (1992) (2)
- On Pairwise Balanced Block Designs with the Sizes of Blocks as Undtorm as Possible (1982) (2)
- THE DIFFERENCE BETWEEN THE CLIQUE NUMBERS OF A GRAPH (1985) (2)
- On the Sum of the Reciprocals of the Differences Between Consecutive Primes (1996) (2)
- Probalistic methods in combinatorial math (1974) (2)
- Problems for Solution: E746-E750 (1946) (2)
- E. Straus 1921-83 (1985) (2)
- On Prime Factors of Subset Sums (1994) (2)
- On some diophantine problems involving powers and factorials (1991) (2)
- Problems for Solution: 4346-4349 (1949) (2)
- Minimum Planar Sets with Maximum Equidistance Counts (1997) (2)
- Some problems and results on additive and multiplicative number theory (1981) (2)
- Correction to "On a Problem of I. Schur" (1961) (2)
- Combinatorics, Geometry and Probability: Turán–Ramsey Theorems and Kp -Independence Numbers (1997) (2)
- Antichains and duality pairs in the digraph-poset (2)
- Extremal subgraphs for two graphs (1985) (2)
- Electrical resistance of one-dimensional disordered systems (1983) (2)
- A note on transforms of unbounded sequences (1947) (2)
- Primzahlpotenzen in rekurrenten Folgen (1990) (2)
- The Number of Multinomial Coefficients (1954) (2)
- ON THE INTEGERS WHICH ARE THE TOTIENT OF A PRODUCT OF THREE PRIMES (1936) (2)
- Over-convergence on the circle of convergence (1947) (2)
- Prime Polynomial Sequences (1976) (2)
- Problems for Solution: 4264-4269 (1947) (2)
- Random induced graphs (2002) (2)
- Prime factors of binomial coefficients and related problems (1988) (2)
- PROBLEMS AND RESULTS IN COMBINATORIAL ANALYSIS (1971) (2)
- Colorful Partitions of Cardinal Numbers (1979) (2)
- A Property of 70 (1978) (2)
- Transversals and Multitransversals (1979) (2)
- Problems for Solution: 5072-5081 (1963) (2)
- On $C_1$-summability of series. (1962) (2)
- On some applications of probability methods to additive number theoretic problems (1970) (2)
- MINIMAL DECOMPOSITION OF ALL GRAPHS WITH EQUINUMEROUS VERTICES AND EDGES INTO MUTUALLY ISOMORPHIC SUBGRAPHS (1984) (2)
- Some extremal properties concerning transitivity in graphs (1973) (2)
- Remarks on a Theorem of Zygmund (1965) (2)
- Rearrangements ofC1-summable series (1954) (2)
- Note On Packing Squares with Equal Squares (1974) (2)
- Someproblems in Graph Theory (1966) (2)
- Cycle-connected graphs (1992) (2)
- On a generalization of Ramsey numbers (1973) (2)
- Polynomials whose zeros lie on the unit circle (1955) (2)
- Spin glasses with cubic anisotropy (1994) (2)
- On the divisibility properties of integers (I) (1966) (2)
- Combinatorics, Geometry and Probability: Paul Erdős: Some Unsolved Problems (1997) (2)
- Remarks on a Problem of Obreanu (1963) (2)
- A measure of the nonmonotonicity of the Euler phi function (1978) (2)
- Additive bases with many representations (1989) (2)
- On a generalization of Turán’s graph-theorem (1983) (2)
- Magnetic properties of UBr_{3} (1987) (2)
- Konstruktion von nichtperiodischen Minimalbasen mit der Dichte für die Menge der nichtnegativen ganzen Zahlen. (1966) (2)
- On a Problem of Hirschhorn (1976) (1)
- On the representing number of intersecting families (1987) (1)
- Some Problems on Additive Number Theory (1982) (1)
- Problems for Solution: 4220-4224 (1946) (1)
- On the Graph of Large Distance (1989) (1)
- Contribution to the theory of spin wave conductivity in non- metallic ferro- and ferrimagnets (1971) (1)
- The number of distinct subsums of $\sum \sb{1}\sp{N}\,1/i$ (1975) (1)
- Problems for Solution: 3820-3823 (1937) (1)
- A Solved and Unsolved Graph Coloring Problem (1972) (1)
- Advanced Problems: 6066-6071 (1976) (1)
- On the Distribution of Normal Point Groups. (1940) (1)
- Problems for Solution: 4518-4522 (1953) (1)
- Ronchi Test of Fifth-Order Aberrations (1959) (1)
- The Set on Which an Entire Function is Small (1948) (1)
- Sequences of Integers (2003) (1)
- Recent Trends In Combinatorics: Notes on Sum-Free and Related Sets (2001) (1)
- ON THE SOLVABILITY OF SOME EQUATIONS IN DENSE SEQUENCES OF INTEGERS (2004) (1)
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- A Characterization of Finitely Monotonic Additive Functions (1972) (1)
- The S=3/2 Heisenberg chain in a magnetic field (1997) (1)
- On a problem of P . Erdös and (1968) (1)
- Problems and Results on Block Designs and Set Systems (1)
- On the distribution of values of certain divisor functions (1974) (1)
- Numerical calculation of correlation functions by boundary condition averaging : test on the one-dimensional Hubbard model (1995) (1)
- A Ramsey-type problem and the Turán numbers (2002) (1)
- Elementary Problems: E2920-E2925 (1982) (1)
- On chagnes of signs in infinite series (1978) (1)
- Multiplikative Funktionen auf kurzen Intervallen. (1987) (1)
- A Note on the Distribution Function of Additive Arithmetical Functions in Short Intervals (1989) (1)
- An asymptotic formula in additive number theory (1976) (1)
- Problems for Solution: 4773-4777 (1958) (1)
- Survey of Theory (1983) (1)
- Problems for Solution: 4315-4319 (1948) (1)
- a (mod p ) ≤ 9T b (mod p ) for all primes p implies a = b (1987) (1)
- On partitions otN into summands coprime toN (1978) (1)
- Problems for Solution: 4270,4728-4732 (1957) (1)
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- Projective (2n,n,λ,1)-designs (1982) (1)
- On partitions of N into summands coprime to (2004) (1)
- Elementary Problems: E2647-E2652 (1977) (1)
- Problems for Solution: 4528,4543-4547 (1953) (1)
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- Über die in Graphen enthaltenen saturierten planaren Graphen (1969) (1)
- Problems for Solution: 4470,4494-4497 (1952) (1)
- On the capacity of graphs (1973) (1)
- ON ADDITIVE ARITHMETICAL FUNCTIONS AND APPLICATIONS OF PROBABILITY TO NUMBER THEORY (2004) (1)
- Corrigendum: ``A theorem in the partition calculus'' (Canad. Math. Bull. {f 15} (1972), 501--505) (1974) (1)
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- Remark on a Theorem of Lindström (1974) (1)
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- Advanced Problems: 6664-6666 (1991) (1)
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- Intermediate valence theory of CePd3 and UNi5−xCux (1982) (1)
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- A CHARACTERISATION THEOREM OF THE LOGARITHMIC FUNCTION MODULO 1 (1998) (0)
- Finite abelian group cohesion (1981) (0)
- NDLTIPLICATIVE FUNCTIONS AND (0)
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- SOME NUMBER THEORETIC RESULTS ( In memory of our good friend (2004) (0)
- Useful but Suffusive@@@Professional Mail Surveys (1971) (0)
- ALEKSANDAR IVIG ON THE ITERATES OF THE ENUMERATING FUNCTION OF FINITE ABELIAN GROUPS (1989) (0)
- Problems for Solution: 4086-4088 (1943) (0)
- Advanced Problems: 6655-6657 (1991) (0)
- Problems for Solution: 3847-3850 (1937) (0)
- Book reviews (1989) (0)
- ESSENTIAL tiAUSDORFF CORES OF SEQUENCES (1964) (0)
- Combinatorics, Geometry and Probability: Clique Partitions of Chordal Graphs (1997) (0)
- .SÁRKÖZI and E.SZEMEREDT A sequence a,< ...of integers is called primitive if no a divides any other . (a1< ...will always denote a primitive sequence (1967) (0)
- The Briscoe Center for American History (1975) (0)
- Rotations of the circle (1980) (0)
- Control of the locomotion of vermiform robots (1995) (0)
- A tribute to Torrence Parsons (1988) (0)
- The Powers That Be (1976) (0)
- ANEW PROOF OF A THEOREM OF HARDY AND LITTLEWOOD (2004) (0)
- On Products of Consecutive Integers (2004) (0)
- Advanced Problems: 6132-6137 (1977) (0)
- MATHEMATICS ON THE IRRATIONALITY OF CERTAIN SERIES (2004) (0)
- THE FRACTIONAL PARTS OF THE BERNOULLI NUMBERS BY PAUL ERD 6 S AND (1980) (0)
- Problems for Solution: 4360-4364 (1949) (0)
- Problems: 10184-10192 (1992) (0)
- Problems and Solution: 4225-4228 (1946) (0)
- Reprinted from the AMERICAN MATHEMATICAL MONTHLY Vol. LVII, No. 6, June-July, 1950 ON ALMOST PRIM* (0)
- “Bad” Triangles in Hilbert Space (M. Burnashev) (1983) (0)
- Problems for Solution: 4503-4507 (1952) (0)
- Elementary Problems: E2938-E2943 (1982) (0)
- Colloquium on General and Set-Theoretic Topology dedicated to the 60 th birthday of István Juhász organized by the János Bolyai Mathematical Society in cooperation with the (2003) (0)
- Research problems (1974) (0)
- 45. A study of the (γ, α) reactions of nuclei (1956) (0)
- Problems for Solution: 4331-4335 (1949) (0)
- Acknowledgement: On the Sum of Two Borel Sets (1971) (0)
- Problems for Solution: 4425-4427 (1951) (0)
- Research problems (1984) (0)
- Magnetically Coupled Impurities in a Linear‐Chain Heisenberg Ferromagnet (1969) (0)
- Theory of Ferrimagnetic Insulators, Alloys and Magnetic Impurities. (1970) (0)
- ON THE SIZE OF A RANDOM MAXIMAMAL GRAPH (2005) (0)
- 530 ON A PROBLEM OF CHOWLA AND SOME RELATED PROBLEMS (2002) (0)
- EXTREMAL PROBLEMS AMONG SUBSETS OF A SET Paul ERDOS (1974) (0)
- Colloquium Mathematicum O1\ Seq Uences of Distances of a Seq Uence a = {a L < a 2 < A3 . . .} (2004) (0)
- INVESTIGATIONS ON THE REACTION $sup 7$Li($gamma$,$alpha$)$sup 3$H (1954) (0)
- Geometric Methods in Number Theory (2003) (0)
- Wave propagation in random media: A comparison of methods to solve stochastic problems (1991) (0)
- Oo a Geeeralizatiii F Turii's Graph-theerem (0)
- then ON THE UNIFORM DISTRIBUTION OF THE ROOTS OF CERTAIN POLYNOMIALS BY (2004) (0)
- Ordered Quadrupolar State with a Nearly Zero Magnetic Moment in NpO2 (1980) (0)
- Let but ON THE BOUNDEDNESS AND UNBOUNDEDNESS OF POLYNOMIALS By (1967) (0)
- On a theorem of rÅdström (1951) (0)
- Problems for Solution: 4249-4253 (1947) (0)
- Recent Trends In Combinatorics: A Selection of Problems and Results in Combinatorics (2001) (0)
- Sums of Numbers with Many Divisors (1999) (0)
- Problems: 10290-10297 (1993) (0)
- THE ($gamma$, $alpha$) PROCESS IN THALLIUM (1957) (0)
- Elementary Problems: E3195-E3200 (1987) (0)
- BOUNDS FOR THE r-th COEFFICIENTS OF (1974) (0)
- PHOTO REACTIONS OF B$sup 10$ AND B$sup 11$ WITH $gamma$ RADIATION UP TO 31 MEV (1953) (0)
- ON A THEOREM OF RADEMACHER-TURÁN Dedicated to Hans Rademacher on the occasion of his seventieth birthday (2004) (0)
- THE ($gamma$np) PROCESS IN Mo$sup 92$ AND Zn$sup 6$$sup 6$ (1957) (0)
- Advanced Problems: 6667-6669 (1991) (0)
- Problems for Solution: 4483-4487 (1952) (0)
- An Arithmetic Conjecture (D. J. Newman) (1977) (0)
- North-Holland ON SOME METRIC AND COMBINATORIAL GEOMETRIC PROBLEMS (1986) (0)
- CHEBYSHEV RATIONAL APPROXIMATION TO ENTIRE FUNCTIONS IN (2004) (0)
- A band model for the understanding of divergences in perturbation theory (1984) (0)
- THE DECAY OF Cu$sup 6$$sup 7$ (1957) (0)
- ELECTRONIC ENERGY LEVELS OF U$sup 4+$ AND U$sup 3+$ IN UO$sub 2$ AND UI$sub 3$ CRYSTALS. (1969) (0)
- On the Schnirelmann Density of the k-Free Integers (1977) (0)
- Cm Some Applications or Probability Metods Additive Number Theoretic Problems To (0)
- PROBLEMS eND RESULTS ON CONSECUTIVE INTEGERS eND PRIME FeCTORS OF BINOMIeL COEFFICIENTS (1985) (0)
- PROBLEMS eND RESULTS ON CONSECUTIVE INTEGERS eND PRIME FeCTORS OF BINOMIeL COEFFICIENTS (1985) (0)
- PROBI-EMS AND RESULTS IN COMBINATORIAL NUMBER THEOR Y hy (0)
- Density of states of one-dimensional random potentials (1988) (0)
- Advanced Problems: 6445-6447 (1983) (0)
- COLLOQUIA MATHEMATICA SOCIETATIS JANOS BOLYAI 35 . FUNCTIONS , SERIES , OPERATORS , BUDAPEST ( HUNGARY ) , 1980 . PROBLEMS AND RESULTS ON POLYNOMIALS AND INTERPOLATION (2004) (0)
- On a Proolem of I . Sshur a Well-known Theorem of a . Markoff1 States That I F' (x) I < N 2 for -1 _< (0)
- Problems for Solution: E736-E740 (1946) (0)
- NEARLY DISJOINT COVERING SYSTEMS (2004) (0)
- THE PHOTON INDUCED ALPHA ACTIVITY OF NUCLEI (1957) (0)
- Colloquiu M Mat Hematicum Xvi D Édié Á M. Franciszek Leja 1967 S'll A[ F R7 ; Harks on Chromatic Graph8 (2004) (0)
- ($gamma$,$alpha$) AND ($gamma$,n$alpha$) PROCESSES IN Br$sup 79$81/, Ag$sup 107$109/, K$sup 39$, AND S$sup 3$$sup 2$ (1954) (0)
- OSCILLATIONS OF BASES FOR THE NATURAL NUMBERS 255 Proof (1975) (0)
- Problems for Solution: 4433-4437 (1951) (0)
- On the Distribution of Normal Point Groups. (1940) (0)
- Advanced Problems: 5651-5657 (1969) (0)
- SOME RESULTS ON ADDITIVE NUMBER THEORY ' PAUL ERDÖS (2004) (0)
- Elementary Problems: E3319-E3324 (1989) (0)
- Then we have ON DIVERGENCE PROPERTIES OF THE LAGRANGE INTERPOLATION PARABOLAS BY (0)
- A REMARK ON THE ITERATION OF ENTIRE FUNCTIONS * (0)
- Problems For Solution: 4385-4389 (1950) (0)
- Some problems I presented or planned to present in my short talk (1996) (0)
- On the size of products of distances from prescribed points (1996) (0)
- George Szekeres (1976) (0)
- Elementary Problems: E3243-E3248 (1988) (0)
- On the expansion 1= Σq−ni (1991) (0)
- Übo 2.a . . Edge Decompositions of the Complete Graph into Copies of a Connected Subgraph (0)
- The Arithmetic Function The Summation from d/n of logd/d. (1973) (0)
- Advanced Problems: 6368-6373 (1981) (0)
- Problems for Solution: 4911-4916 (1960) (0)
- Landauer resistance and white noise (1998) (0)
- ΝΟΤΕ ΟΝ CONSECUTIVE ABUNDANT NUMBERS (0)
- On Sets Which Are Measured bar Multiples of Irrational Numbers by (2004) (0)
- Some Old and New Problems on Additive and Combinatorial Number Theory (1989) (0)
- Advanced Problems: 6409-6414 (1982) (0)
- Personal reminiscences and remarks on the mathematical work of Tibor Gallai (1982) (0)
- Wages, profit, taxation: Studies on controversial issues of the political economy of capitalism (1982) (0)
- Competing lattice modes and the quadrupolar ordering in UO2 (1980) (0)
- ON CHROMATIC NUMB R OF INFINIT GRAPHS 85 PROOF (2004) (0)
- Research problem (1973) (0)
- POINTS OF MULTIPLICITY TAU OF PLANE BROWNIAN PATHS (1959) (0)
- Inflation and Recession in the U.S. Economy in the 1970s: Price, Profit and Business Cycles in Theory and Practice (1990) (0)
- “On the Maximal value of additive functions...” (1981) (0)
- On the reconstruction of combinatorial structures from line-graphs (1994) (0)
- Chapter 1 ERDŐS-KO-RADO THEOREMS OF HIGHER ORDER (2004) (0)
- On finite superuniversal graphs (1978) (0)
- ON THE PRIME FACTORS OF \ k / AND OF CONSECUTIVE INTEGERS (0)
- Research problems (1974) (0)
- [no title] (1961) (0)
- A PROBLEM ON COMPLEMENTS AND DISJOINT EDGES IN A HYPERGRAPH (1980) (0)
- Algorithms and min-max theorems for certain multiway cuts (1992) (0)
- Asymptotic Formulas for Some Arithmetic Functions (1958) (0)
- Problems for Solution: 3744-3748 (1935) (0)
- On the distribution of prime divisors ofn (1968) (0)
- Elementary Divisors of Normal Matrices (1959) (0)
- MATHEMATICSOn sequences of integers generated by a sieving process (1958) (0)
- COLLOQUIA MATHEMATICA SOCIETATIS JÁNOS BOLYAI 4 . COMBINATORIAL THEORY AND ITS APPLICATIONS (1969) (0)
- ON A COMBINATORIAL PROBLEM IN LATIN SQUARES (2004) (0)
- Problems for Solution: 4320-4324 (1948) (0)
- A finite word poset : In honor of Aviezri Fraenkel on the occasion of his 70th birthday (2001) (0)
- Problems for Solution: 3832-3840 (1937) (0)
- SOME ASYMPTOTIC FORMULAS ON GENERALIZED DIVISOR FUNCTIONS , IV by (2004) (0)
- Über eine Art von Lakunarität (1957) (0)
- Eine Bemerkung über lineare Kongruenzen (1936) (0)
- Problems for Solution: 4412-4414 (1950) (0)
- Are there many distances that occur few times (1997) (0)
- Elementary Problems: E3421-E3426 (1991) (0)
- Über eine Fragestellung von Gaier und Meyer-König. (1958) (0)
- Molekularstrahl-Maser mit gekoppelten Hohlraumresonatoren (1962) (0)
- Problems for Solution: 4405-4409 (1950) (0)
- Problems for Solution: E931-E935 (1950) (0)
- On the product ...(1-z...k). (1959) (0)
- On composition of polynomials (1977) (0)
- Survey of Experimental Data (1983) (0)
- Distribution of rational points on the real line (1973) (0)
- Problems for Solution: 4448-4452 (1951) (0)
- Solution by P. J. Ryan, University of Toronto (1965) (0)
- Monotonicity of Partition Function S (0)
- Problems for Solution: 4352-4359 (1949) (0)
- Elementary Problems: E3253-E3258 (1988) (0)
- Problems for Solution: 4365-4369 (1949) (0)
- Transmission of Electrons Through a Disordered Array of Potentials (1973) (0)
- Bounds on threshold dimension and disjoint threshold coverings (abstract only) (1985) (0)
- Optimum Multiple Access Coding (D.B. Jevtić) (1992) (0)
- Problems for Solution: 4141-4144 (1944) (0)
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Paul Erdős is affiliated with the following schools:
- Australian National University
- University of Saskatchewan
- University of Calgary
- Northern Illinois University
- Victoria University of Manchester
- Ohio State University
- University of Alberta
- Technion – Israel Institute of Technology
- Syracuse University
- University of Notre Dame
- Eötvös Loránd University
- Stanford University
- Budapest University of Technology and Economics
- Purdue University