Imre Z. Ruzsa | Academic Influence

Imre Z. Ruzsa's AcademicInfluence.com Rankings

Imre Z. Ruzsa

Mathematics

#673

World Rank

#1233

Historical Rank

Number Theory

#79

World Rank

#113

Historical Rank

Measure Theory

#2598

World Rank

#3112

Historical Rank

mathematics Degrees

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Mathematics

Imre Z. Ruzsa's Degrees

PhD Mathematics Eötvös Loránd University

Why Is Imre Z. Ruzsa Influential?

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According to Wikipedia, Imre Z. Ruzsa is a Hungarian mathematician specializing in number theory. Life Ruzsa participated in the International Mathematical Olympiad for Hungary, winning a silver medal in 1969, and two consecutive gold medals with perfect scores in 1970 and 1971. He graduated from the Eötvös Loránd University in 1976. Since then he has been at the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences. He was awarded the Rollo Davidson Prize in 1988. He was elected corresponding member and member of the Hungarian Academy of Sciences. He was invited speaker at the European Congress of Mathematics at Stockholm, 2004, and in the Combinatorics section of the International Congress of Mathematicians in Madrid, 2006. In 2012 he became a fellow of the American Mathematical Society.

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Imre Z. Ruzsa's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Solving a linear equation in a set of integers I (1993) (225)
Generalized arithmetical progressions and sumsets (1994) (201)
Multiple recurrence and nilsequences (2005) (178)
Freiman's theorem in an arbitrary abelian group (2005) (176)
The Polynomial Method and Restricted Sums of Congruence Classes (1996) (158)
Combinatorial Number Theory and Additive Group Theory (2009) (156)
An analog of Freiman's theorem in groups (1993) (139)
Sum-free sets in abelian groups (2003) (130)
Adding Distinct Congruence Classes Modulo a Prime (1995) (108)
Difference sets and frequently hypercyclic weighted shifts (2013) (100)
Sums of Finite Sets (1996) (94)
Convexity and Sumsets (2000) (93)
Arithmetic progressions in sumsets (1991) (89)
On the Parity of Additive Representation Functions (1998) (83)
Sets with Small Sumset and Rectification (2004) (64)
An Infinite Sidon Sequence (1998) (63)
On the number of sums and differences (1992) (55)
Arithmetical progressions and the number of sums (1992) (52)
Few sums, many products (2003) (52)
Rectification Principles in Additive Number Theory (1998) (51)
Integer Sum Sets Containing Long Arithmetic Progressions (1992) (49)
Satisfying more than half of a system of linear equations over GF(2): A multivariate approach (2014) (48)
Algebraic Probability Theory (1988) (47)
Difference sets without squares (1984) (40)
Distance Graphs with Finite Chromatic Number (2002) (40)
A superadditivity and submultiplicativity property for cardinalities of sumsets (2007) (39)
Counting sumsets and sum-free sets modulo a prime (2004) (39)
On Linnik’s approximation to Goldbach’s problem. II (2020) (39)
On the concentration of additive functions (1980) (39)
Additive properties of dense subsets of sifted sequences (2001) (38)
A just basis (1990) (35)
Difference sets and the primes (2007) (34)
Systems of Linear Equations over F2 and Problems Parameterized above Average (2010) (33)
Sumsets and entropy (2009) (28)
Upper and Lower Bounds for Finite Bh[g] Sequences (2002) (28)
Generalized sidon sets (2009) (28)
Arithmetic progressions in sparse sumsets (2007) (27)
Minimum Shadows in Uniform Hypergraphs and a Generalization of the Takagi Function (1995) (27)
Bounds for arrays of dots with distinct slopes or lengths (1992) (25)
Additive Completion of Lacunary Sequences (2001) (22)
On difference-sequences (1974) (21)
Polynomial growth of sumsets in abelian semigroups (2002) (20)
Cardinality questions about sumsets (2007) (19)
Difference Sets and Positive Exponential Sums I. General Properties (2012) (19)
Generalized moments of additive functions (1984) (19)
On the small sieve. I. Sifting by primes (1980) (18)
On the prime factors of (²ⁿ_{}) (1975) (18)
Binary linear forms over finite sets of integers (2007) (18)
Squares and Difference Sets in Finite Fields (2013) (18)
The independence number of a subset of an abelian group (2015) (17)
Non-averaging Subsets and Non-vanishing Transversals (1999) (17)
On measures of intersectivity (1984) (17)
General multiplicative functions (1977) (17)
Plünnecke’s Inequality for Different Summands (2008) (17)
Olson's constant for the group Zp+Zp (2004) (16)
Sumsets in difference sets (2009) (16)
A New Lower Bound for the L1 Mean of the Exponential Sum with the Möbius Function (1999) (15)
A Converse to a Theorem of Erdős and Fuchs (1997) (15)
On an additive property of squares and primes (1988) (14)
Sumsets of Sidon sets (1996) (14)
Better Bounds for Planar Sets Avoiding Unit Distances (2014) (13)
Erdős and the Integers (1999) (13)
Additive and multiplicative Sidon sets (2006) (13)
The Brunn–Minkowski Inequality and Nonconvex Sets (1997) (13)
Additive structure of difference sets and a theorem of Følner (2016) (12)
The least nonzero digit of n! in base 12 (2011) (12)
Periodic decomposition of integer valued functions (2008) (12)
The nature of discrete second-order self-similarity (2003) (11)
On the Exponential sum over r-Free Integers (2001) (11)
Convolution quotients of nonnegative functions (1983) (11)
The structure of sets with few sums along a graph (2006) (11)
Uniform distrubution, positive trigonometric polynomials and difference sets (1982) (11)
Towards A Noncommutative Plünnecke-Type Inequality (2010) (11)
Intersections of Traces of Random Walks with Fixed Sets (1982) (11)
Theory of decomposition in semigroups (1985) (10)
Generalization of a theorem of Erdős and Rényi on Sidon sequences (2009) (10)
On the Irrationality of Certain Series (1999) (10)
Sieve Methods, Exponential Sums, and their Applications in Number Theory: On an Additive Property of Stable Sets (1997) (10)
Negative values of cosine sums (2004) (10)
Sums, products, and ratios along the edges of a graph (2018) (10)
Diameter of sets and measure of sumsets (1991) (10)
Infinite divisibility II (1988) (9)
Exact additive complements (2015) (9)
On the additive completion of primes (1998) (8)
The Number of Homothetic Subsets (2013) (8)
A concavity property for the measure of product sets in groups (1992) (8)
On the variance of additive functions (1983) (8)
Infinite convolution and shift-convergence of measures on topological groups (1982) (8)
The grid revisted (1993) (8)
Systems of mutually unbiased Hadamard matrices containing real and complex matrices (2013) (8)
Large regular simplices contained in a hypercube (2009) (7)
AN ALMOST POLYNOMIAL SIDON SEQUENCE (2001) (7)
Nearly subadditive sequences (2018) (7)
On the size of the set AA+A (2018) (7)
Infinite Convolution of Distributions on Discrete Commutative Semigroups (1991) (6)
On the Schnirelmann density of sumsets (1998) (6)
An application of Kloosterman sums (1995) (6)
Sums and differences of finite sets (2007) (6)
On the Hardy–Littlewood majorant problem (2003) (6)
On the Prime Factors of \binom2nn (1975) (6)
Sets with no solutions to x+y=3zx+y=3z (2012) (6)
An Analytic Approach to Cardinalities of Sumsets (2020) (6)
On the arithmetic Kakeya conjecture of Katz and Tao (2017) (6)
UPPER AND LOWER BOUNDS FOR FINITE B h [ g ] SEQUENCES (2008) (6)
Real and p -adic Sidon sequences (2004) (6)
Average Goldbach and the Quasi-Riemann Hypothesis (2017) (5)
A Problem on Zero Subsums in Abelian Groups (1997) (5)
No distribution is prime (1985) (5)
A New Class of Second Order Self-Similar Processes (2004) (5)
The difference graph of S-units (2011) (5)
A note on Behrend sequences (1996) (5)
Monochromatic paths for the integers (2016) (5)
Difference Sets and Positive Exponential Sums I. General Properties (2013) (5)
Note on an Inequality of Wegner (2007) (5)
On Uniformly Distributed Dilates of Finite Integer Sequences (2000) (5)
ON THE EQUATION x(x+d)…(x+(k-1)d)=by2 (2000) (5)
A Small Maximal Sidon Set (1998) (5)
Sum-Avoiding Subsets (2005) (5)
Additive combinatorics and geometry of numbers (2006) (5)
On a Problem of P. Erdös (1972) (4)
The density of the set of sums (1991) (4)
An extension of expectation (1980) (4)
Additive functions with bounded difference (1979) (4)
Real and complex unbiased Hadamard matrices (2012) (4)
Measure of sumsets and ejective sets I (1996) (4)
Triangulations and a Discrete Brunn–Minkowski Inequality in the Plane (2018) (4)
A note on our paper “theory of decomposition in semigroups” (1986) (4)
Probabilistic Generalization of a Number-Theoretical Inequality (1976) (4)
On the number of solutions of f(n) = a for additive functions (1973) (4)
A set of squares without arithmetic progressions (2012) (4)
Sumsets of semiconvex sets (2020) (3)
A Weighted Prékopa-Leindler inequality and sumsets with quasicubes (2020) (3)
Modal logic with descriptions (1981) (3)
A note on the pyjama problem (2012) (3)
Elementary and integral-elementary functions (2000) (3)
Sumsets and the convex hull (2008) (3)
More differences than multiple sums (2016) (3)
On the small sieve. II. sifting by composite numbers (1982) (3)
Prime values of reducible polynomials, II (2005) (3)
Some Results Concerning Convergence of Convolution Products of Probability Measures on Discrete Semigroups (1997) (2)
On the additive completion of linear recurrence sequences (1978) (2)
Edge-Injective and Edge-Surjective Vertex Labellings (2010) (2)
On an Inequality of Erdős and Turán Concerning Uniform Distribution Modulo One, II (1994) (2)
Convex sequences may have thin additive bases (2017) (2)
On the Prime Factors of (2„") (2010) (2)
Double and triple sums modulo a prime (2007) (2)
Irreducible and prime distributions (1982) (2)
Additive completion and disjoint translations (1995) (2)
Proceedings of the '87 Debrecen Symposium on Logic and Language (1987) (2)
An additive problem for powers of primes (1989) (1)
On Mahler’s measure for polynomials in several variables (1999) (1)
Decompositions of probability measures on groups (1984) (1)
Semigroup-valued multiplicative functions (1982) (1)
Additive decomposition of signed primes (2023) (1)
Absolute convergence of an infinite convolution (1996) (1)
Prior-type modal logic II (1973) (1)
Remarks to Zinov'ev's complex logic (1973) (1)
Random models of logical systems (1971) (1)
Paul Erdős — From an Epsilon's-eye view (1996) (1)
Semantics for von Wright's latest deontic logic (1976) (1)
Logarithmic density and measures on semigroups (1996) (1)
Infinite convolution via representations (1984) (1)
Difference Sets and Positive Exponential Sums. II: Cubic Residues in Cyclic Groups (2021) (1)
On approximating Lebesgue integrals by Riemann sums (1991) (1)
On sums and products along the edges, II (2020) (1)
Prime values of reducible polynomials (2006) (1)
Erds Centennial (2013) (1)
Carries and the Arithmetic Progression Structure of Sets (2015) (1)
Distance Graphs with Nite Chromatic Number Latest Update on 3{8{2001 (1)
SUMS AND PRODUCTS ALONG EDGES OF A GRAPH (2020) (0)
A Characterization of Essentially Ejective Sets (2004) (0)
Measure and topology (2009) (0)
Book reviews (1991) (0)
A note on additive bases of integers (2022) (0)
ARITHMETIC PROGRESSIONS IN SPARSE SUMSETS Dedicated to Ron Graham on the occasion of his 70 th birthday (2005) (0)
Basic Metatheorems on the Q Calculi (2001) (0)
Deductions. Further Derived Rules (2001) (0)
Prior-type modal logic I (1973) (0)
Additive functions with monotonic norm (2000) (0)
On the arithmetic Kakeya conjecture of Katz and Tao (2018) (0)
Consecutive primes modulo 4 (2001) (0)
Addition theorems and direct zero-sum problems (2009) (0)
The Semantics of the Q Systems (2001) (0)
An antidemocratic representation (1997) (0)
Hypercomplete and Compossible Sets (2001) (0)
Russell versus Frege (2010) (0)
The Pre-History of the Topic (2001) (0)
Two variants of the system of entailment (1975) (0)
An Analytic Approach to Cardinalities of Sumsets (2022) (0)
On a multiplicative property of sequences of integers (1992) (0)
Euclidean algorithm in different norms (2011) (0)
Basic concepts of non-unique factorizations (2009) (0)
Better Bounds for Planar Sets Avoiding Unit Distances (2015) (0)
On sets of weak uniform distribution (1989) (0)
Max Lin Above Average Problem and Lower Bounds for Maxima of Pseudo-boolean Functions (2010) (0)
Location and sumsets (2009) (0)
Triangulations and a Discrete Brunn–Minkowski Inequality in the Plane (2019) (0)
C O ] 4 O ct 2 01 9 On distinct consecutive differences (2019) (0)
In Defence of Classical Principles (1996) (0)
Restricted sums in a field (0)
A pseudonorm for unbounded transformations (1979) (0)
An approach to intensional logic (1981) (0)
N T ] 2 1 M ar 2 00 4 Sets with small sumset and rectification (2004) (0)
An application of Tao ’ s analytic method to restricted sumsets (2011) (0)
Consistent and Complete Sets (2001) (0)
The Q Calculi (2001) (0)
On the difference of integer-valued additive functions (2022) (0)
A pr 2 00 2 Polynomial growth of sumsets in abelian semigroups ∗ (2008) (0)
Average Goldbach and the Quasi-Riemann Hypothesis (2018) (0)
Some Irrefutable and Refutable Sentences (2001) (0)
The Grammar of the Q Systems (2001) (0)
Additive decomposition of signed prime (2022) (0)
The Completeness Theorem (2001) (0)
Alternatives and Successors of Hypercomplete Sets (2001) (0)
Adding distinct residue classes modulo a prime (DRAFT) (2002) (0)
CONNECTIONS BETWEEN THE CARDINALITY OF SUMSETS AND DIFFERENCE SETS NEAR THE EXTREME (2017) (0)
Structure of sets with few sums (2009) (0)
The Davenport constant and first precise arithmetical results (2009) (0)
Remarks on prime values of polynomials at prime arguments (2003) (0)

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What Schools Are Affiliated With Imre Z. Ruzsa?

Imre Z. Ruzsa is affiliated with the following schools:

Eötvös Loránd University