George Andrews

Q: What Schools Are Affiliated With George Andrews

George Andrews is affiliated with the following schools: Oregon State University, Pennsylvania State University, University of Pennsylvania

George Andrews 's AcademicInfluence.com Rankings

Mathematics

#602

World Rank

#1137

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#264

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Number Theory

#41

World Rank

#65

Historical Rank

#13

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Measure Theory

#210

World Rank

#328

Historical Rank

#97

USA Rank

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Why Is George Andrews Influential?

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George Andrews currently holds the title of Evan Pugh Professor of Mathematics at Pennsylvania State University, where he has worked since 1964. He has also held professorial roles at institutions including MIT, the University of Wisconsin, the University of Waterloo, Australian National University, the University of Melbourne, and the University of Florida. Andrews earned his BS and MA at Oregon State University by 1960, and completed his PhD at the University of Pennsylvania in 1964.

Andrews is widely published, with over 250 credits to his name. His work primarily focuses on number theory and combinatorics, particularly the study of partitions, on which he is a leading expert. Andrews is also credited with discovering Srinivasa Ramanujan’s “lost notebook” (a veritable mathematical treasure trove), and with Bruce C. Berndt has published four books on the subject, with proofs for some of Ramanujan’s formulas, including Integer Partitions and Ramanujan’s Lost Notebook: Part I.

For his work, Andrews has received a variety of awards and honors, including a Guggenheim Fellowship, membership with the American Academy of Arts and Sciences, membership with the National Academy of Sciences, membership with the American Mathematical Society, and numerous honorary degrees.

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Featured in Top Influential Mathematicians Today

According to Wikipedia, George Eyre Andrews is an American mathematician working in special functions, number theory, analysis and combinatorics. Education and career He is currently an Evan Pugh Professor of Mathematics at Pennsylvania State University. He did his undergraduate studies at Oregon State University and received his PhD in 1964 at the University of Pennsylvania where his advisor was Hans Rademacher.

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George Andrews '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 Papers

The theory of partitions (1976) (1532)
The lost notebook and other unpublished papers (1988) (1126)
Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities (1984) (810)
Ramanujan's Lost Notebook: Part I (2005) (639)
q-series : their development and application in analysis, number theory, combinatorics, physics, and computer algebra (1986) (565)
Classical orthogonal polynomials (1985) (539)
ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS (1999) (466)
Dyson's crank of a partition (1988) (349)
Special Functions: Partitions (1999) (348)
MULTIPLE SERIES ROGERS-RAMANUJAN TYPE IDENTITIES (1984) (220)
Applications of Basic Hypergeometric Functions (1974) (209)
An analytic generalization of the rogers-ramanujan identities for odd moduli. (1974) (207)
ENUMERATIVE COMBINATORICS, VOLUME 2 (Cambridge Studies in Advanced Mathematics 62) By R ICHARD P. S TANLEY : 581 pp., £45.00 (US$69.95), ISBN 0 521 56069 1 (Cambridge University Press, 1999). (2000) (205)
Problems and Prospects for Basic Hypergeometric Functions (1975) (183)
An Introduction to Ramanujan's “Lost” Notebook (1979) (177)
The fifth and seventh order mock theta functions (1986) (176)
On the existence of solutions to the equation (1980) (174)
Generalized Frobenius Partitions (1984) (165)
Special Functions by George E. Andrews (1999) (150)
Ramanujan's lost notebook. VII, The sixth order mock theta functions (1991) (149)
The number of smallest parts in the partitions of n (2008) (147)
Partitions and indefinite quadratic forms (1988) (144)
Plane partitions (III): The weak Macdonald conjecture (1979) (125)
Enumeration of Partitions: The Role of Eulerian Series and q-Orthogonal Polynomials (1977) (119)
Number theory (1971) (117)
Partitions, Durfee symbols, and the Atkin–Garvan moments of ranks (2007) (113)
A LOWER BOUND FOR THE VOLUME OF STRICTLY CONVEX BODIES WITH MANY BOUNDARY LATTICE POINTS (1963) (109)
Ramunujan's “Lost” Notebook III. The Rogers-Ramanujan continued fraction (1981) (104)
Ramanujan's “Lost” Notebook. I. Partial θ-functions (1981) (103)
Bailey’s Transform, Lemma, Chains and Tree (2001) (95)
Lattice gas generalization of the hard hexagon model. III.q-Trinomial coefficients (1987) (93)
Arithmetic properties of partitions with even parts distinct (2010) (93)
MacMahon's Partition Analysis: The Omega Package (2001) (92)
On the Theorems of Watson and Dragonette for Ramanujan's Mock Theta Functions (1966) (90)
Ramanujan's "Lost" Notebook VI: The Mock Theta Conjectures (1989) (85)
Theorems for a price: tomorrow’s semi-rigorous mathematical culture (1993) (85)
Plane Partitions V: The TSSCPP Conjecture (1994) (84)
An A$_2$ Bailey lemma and Rogers--Ramanujan-type identities (1998) (82)
Rogers-Ramanujan identities for partitions with "N copies of N" (1987) (80)
The truncated pentagonal number theorem (2012) (80)
Two theorems of Gauss and allied identities proved arithmetically. (1972) (76)
Euler’s ‘‘exemplum memorabile inductionis fallacis” and $q$-trinomial coefficients (1990) (76)
AN ANALYTIC PROOF OF THE ROGERS-RAMANUJAN-GORDON IDENTITIES. (1966) (76)
On basic hypergeometric series, mock theta functions, and partitions (ii) (1966) (76)
MacMahon's partition analysis XI: Broken diamonds and modular forms (2007) (75)
On the $q$-analog of Kummer’s theorem and applications (1973) (75)
Ramanujan's lost notebook (2012) (75)
Another q-extension of the beta function (1981) (69)
The Continued fractions found in the unorganized portions of Ramanujan's notebooks (1992) (67)
Partitions with Prescribed Hook Differences (1987) (67)
Partial Theta Functions (2009) (67)
Summations and Transformations for Basic Appell Series (1972) (66)
q-series identities and values of certain L-functions (2001) (66)
On the Foundations of Combinatorial Theory V, Eulerian Differential Operators (1971) (65)
Partitions associated with the Ramanujan/Watson mock theta functions ω(q), ν(q)and ϕ(q) (2015) (65)
Baxter Algebras and Hopf Algebras (2003) (64)
q-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher (1999) (63)
PARTITIONS AND DURFEE DISSECTION. (1979) (63)
Ramanujan's “Lost” Notebook V: Euler's partition identity (1986) (62)
ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES (1968) (60)
Hecke modular forms and the Kac-Peterson identities (1984) (58)
A simple proof of Ramanujan’s summation of the1ψ1 (1978) (57)
The hard-hexagon model and Rogers-Ramanujan type identities. (1981) (56)
MacMahon’s Partition Analysis: I. The Lecture Hall Partition Theorem (1998) (54)
Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity (1965) (54)
On q-Analogues of the Watson and Whipple Summations (1976) (53)
Partitions with short sequences and mock theta functions. (2005) (53)
The odd moments of ranks and cranks (2013) (52)
On the general Rogers-Ramanujan theorem (1974) (52)
A generalization of the Göllnitz-Gordon partition theorems (1967) (52)
Truncated theta series and a problem of Guo and Zeng (2018) (52)
Euler's Pentagonal Number Theorem (1983) (51)
The WP‐Bailey Tree and its Implications (2001) (50)
Parity in partition identities (2010) (48)
A combinatorial interpretation of the Legendre-Stirling numbers (2009) (48)
Partitions: At the Interface of q-Series and Modular Forms (2003) (48)
Mordell integrals and Ramanujan's “lost” notebook (1981) (47)
Identities in combinatorics. II. A $q$-analog of the Lagrange inversion theorem (1975) (47)
q-Orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions (2012) (47)
The Jacobi-Stirling numbers (2011) (46)
Ramanujan's forty identities for the Rogers-Ramanujan functions (2007) (46)
The Legendre-Stirling numbers (2011) (44)
q‐HYPERGEOMETRIC FUNCTIONS AND APPLICATIONS (Ellis Horwood Series: Mathematics and Its Applications) (1984) (44)
A Survey of Multipartitions Congruences and Identities (2008) (44)
Sieves in the Theory of Partitions (1972) (43)
The equivalence of the Bender-Knuth and MacMahon conjectures (1977) (42)
A Note on Partitions and Triangles with Integer Sides (1979) (42)
A motivated proof of the Rogers-Ramanujan identities (1989) (42)
Combinatorial interpretations of congruences for the spt-function (2012) (41)
Integer Partitions: Ferrers graphs (2004) (41)
Singular Overpartitions (2014) (40)
Congruence properties of the m-ary partition function (1971) (40)
Ramanujan's “Lost” Notebook VIII: the entire Rogers–Ramanujan function (2005) (39)
Lattice gas generalization of the hard hexagon model. II. The local densities as elliptic functions (1986) (39)
MacMahon's Partition Analysis VI: A New Reduction Algorithm (2001) (39)
On a Conjecture of Peter Borwein (1995) (39)
On a transformation of bilateral series with applications (1970) (38)
SELF-CONJUGATE VECTOR PARTITIONS AND THE PARITY OF THE SPT-FUNCTION (2013) (38)
Generalizations and refinements of a partition theorem of Göllnitz. (1995) (38)
Ramanujan's “Lost” notebook IV. Stacks and alternating parity in partitions (1984) (37)
Divisibility properties of the $q$-tangent numbers (1978) (37)
A general theory of identities of the Rogers-Ramanujan type (1974) (37)
Euler’s “De Partitio Numerorum” (2007) (37)
On Schur's second partition theorem (1967) (37)
MacMahon's Partition Analysis: II Fundamental Theorems (2000) (36)
An Infinite Family of Engel Expansions of Rogers-Ramanujan Type (2000) (36)
Special Functions: The Gamma and Beta Functions (1978) (36)
Catalan numbers, q-Catalan numbers and hypergeometric series (1987) (35)
An Identity Relating a Theta Function to a Sum of Lambert Series (2001) (35)
A GENERAL THEOREM ON PARTITIONS WITH DIFFERENCE CONDITIONS. (1969) (35)
On the Proofs of the Rogers-Ramanujan Identities (1989) (35)
Lattice gas generalization of the hard hexagon model. I. Star-triangle relation and local densities (1986) (35)
Concave and convex compositions (2013) (35)
Plane partitions VI: Stembridge's TSPP theorem (2005) (34)
MacMahon’s Partition Analysis V: Bijections, Recursions, and Magic Squares (2001) (34)
MODULARITY OF THE CONCAVE COMPOSITION GENERATING FUNCTION (2013) (34)
Identities in combinatorics III: Further aspects of ordered set sorting (1984) (34)
The Bailey transform and false theta functions (2007) (33)
Concave Compositions (2011) (32)
A new generalization of Schur's second partition theorem (1968) (32)
ad-nilpotent $\frak b$-ideals in sl(n) having a fixed class of nilpotence: combinatorics and enumeration (2000) (32)
Bailey chains and generalized lambert series: I. Four identities of Ramanujan (1992) (32)
Some new partition theorems (1967) (32)
MacMahon’s Partition Analysis IV: Hypergeometric Multisums (2001) (31)
A new four parameter q-series identity and its partition implications (2002) (31)
A Theorem on Reciprocal Polynomials with Applications to Permutations and Compositions (1975) (31)
MacMahon's Partition Analysis: VIII. Plane Partition Diamonds (2001) (31)
Partitions with designated summands (2002) (30)
On Ramanujan’s continued fraction for (²;³)_{∞}/(;³)_{∞} (2002) (30)
Vanishing coefficients in infinite product expansions (1979) (30)
The product of partial theta functions (2007) (29)
Congruences for the q-secant Numbers (1980) (29)
Enumerative proofs of certain q-identities (1967) (29)
Double series representations for Schur's partition function and related identities (2014) (28)
Partition identities with an application to group representation theory. (1991) (28)
$q$-identities of Auluck, Carlitz, and Rogers (1966) (28)
A Trinomial Analogue of Bailey's Lemma and N = 2 Superconformal Invariance (1997) (27)
Continued fractions with three limit points (2005) (27)
-nilpotent -ideals in () having a fixed class of nilpotence: combinatorics and enumeration (2002) (27)
On Ramanujan's continued fraction for (q2;q3) ∞(q; q3)∞ (2005) (27)
Integer Partitions with Even Parts Below Odd Parts and the Mock Theta Functions (2018) (26)
Pfaff's method (I): The Mills-Robbins-Rumsey determinant (1998) (25)
Two theorems of Euler and a general partition theorem (1969) (25)
Macmahon's partition analysis IX: K -gon partitions (2001) (25)
Determinants in Plane Partition Enumeration (1998) (25)
Questions and conjectures in partition theory (1986) (25)
Congruences related to the Ramanujan/Watson mock theta functions $$\omega (q)$$ω(q) and $$\nu (q)$$ν(q) (2017) (25)
On partition functions related to Schur’s second partition theorem (1968) (24)
Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions (2001) (24)
A Short Proof of Jacobi's Formula for the Number of Representations of an Integer as a Sum of Four Squares (1992) (24)
The Minimal Excludant in Integer Partitions (2020) (24)
Partition identities and labels for some modular characters (1994) (24)
Integrals, partitions and MacMahon's Theorem (2007) (24)
Ramanujan's “Lost” Notebook. II. θ-function expansions (1981) (24)
Surveys in combinatorics 1985: Combinatorics and Ramanujan's “Lost” Notebook (1985) (23)
On the difference of successive Gaussian polynomials (1993) (23)
Euler’s Pentagonal Number Theorem and the Rogers-Fine Identity (2012) (23)
Partitions with initial repetitions (2009) (23)
On a Partition Function of Richard Stanley (2004) (23)
The First Positive Rank and Crank Moments for Overpartitions (2013) (22)
HOOK DIFFERENCES AND LATTICE PATHS (1986) (22)
MacMahon's sum-of-divisors functions, Chebyshev polynomials, and quasi-modular forms (2010) (22)
On generalizations of Euler's partition theorem. (1966) (22)
Partitions and the Minimal Excludant (2019) (22)
Stacked lattice boxes (1999) (22)
Ramanujan's ¿Lost¿ notebook IX: the partial theta function as an entire function (2005) (21)
Umbral Calculus, Bailey Chains, and Pentagonal Number Theorems (2000) (20)
A MOCK THETA FUNCTION FOR THE DELTA-FUNCTION (2008) (20)
On Rogers‐Ramanujan Type Identities Related to the Modulus 11 (1975) (20)
Pfaff's method (II): diverse applications (1996) (20)
An Unpublished Manuscript of Ramanujan on Infinite Series Identities (2013) (20)
An asymptotic expression for the number of solutions of a general class of Diophantine equations (1961) (20)
ON A PARTITION PROBLEM OF H. L. ALDER (1971) (20)
MacMahon's partition analysis XIII: Schmidt type partitions and modular forms (2021) (19)
q -Catalan Identities (2010) (19)
Generalizations of the Durfee Square (1971) (19)
Rogers-Ramanujan Type Identities for Partitions with Attached Odd Parts (1997) (19)
On the Distribution of the spt-Crank (2013) (19)
Differences of Partition Functions: The Anti-telescoping Method (2013) (18)
The Friedman-Joichi-Stanton monotonicity conjecture at primes (2000) (18)
Partitions associated with the Ramanujan/Watson mock theta functions $\omega(q), \nu(q)$ and $\phi(q)$ (2015) (18)
Partitions with fixed differences between largest and smallest parts (2014) (18)
A Hardy-Ramanujan formula for restricted partitions (1991) (18)
q-Series Arising From The Study of Random Graphs (1997) (18)
Identities in combinatorics, I: on sorting two ordered sets (1975) (18)
Pfaff's method (III): Comparison with the WZ method (1995) (18)
Extension of Abel's Lemma with q-Series Implications (2005) (17)
CONGRUENCES FOR THE FISHBURN NUMBERS (2014) (17)
Engel Expansions and the Rogers–Ramanujan Identities☆ (2000) (17)
Special Functions: The Selberg Integral and Its Applications (1999) (16)
MacMahon's partition analysis XII: Plane partitions (2007) (16)
Ramanujan's method in q-series congruences (1996) (16)
On Ramanujan’s summation of ₁₁(;;) (1969) (15)
Partition theorems related to the Rogers-Ramanujan identities (1967) (15)
Characterizing the Number of m-ary Partitions Modulo m (2015) (15)
A generalization of the classical partition theorems (1969) (15)
MacMahon's conjecture on symmetric plane partitions. (1977) (15)
The Ramanujan–Dyson identities and George Beck’s congruence conjectures (2020) (14)
Well-Poised Series (2009) (14)
Generalizations of Cauchy’s summation theorem for Schur functions (1988) (14)
An algebraic identity of F.H. Jackson and its implications for partitions (2001) (14)
The Rogers-Ramanujan reciprocal and Minc’s partition function (1981) (14)
Sieves for theorems of Euler, Rogers, and Ramanujan (1972) (14)
On a calculus of partition functions (1969) (13)
q-Trinomial Coefficients and Rogers-Ramanujan Type Identities (1990) (13)
Congruences related to the Ramanujan/Watson mock theta functions ω( q ) and ν( q ) (2015) (13)
On Shapiro's Catalan convolution (2011) (13)
On a partition theorem of Göllnitz and related formulae. (1969) (13)
Partitions With Distinct Evens (2009) (13)
Partially ordered sets and the rogers-ramanujan identities (1974) (13)
Partitions with Parts Separated by Parity (2019) (12)
A generalization of a partition theorem of MacMahon (1967) (12)
The coca leaf and cocaine papers (1977) (12)
Shanks' convergence acceleration transform, Padé approximants and partitions (1986) (12)
Almost partition identities (2019) (12)
Counting Methods (1999) (11)
EϒPHKA! num = Δ + Δ + Δ (1986) (11)
On q-series identities related to interval orders (2013) (11)
Partitions,q-series and the Lusztig-macdonald-wall conjectures (1977) (11)
Plane partitions IV: A conjecture of Mills—Robbins—Rumsey (1987) (11)
The Well-Poised Thread: An Organized Chronicle of Some Amazing Summations and their Implications (1997) (11)
Overpartitions related to the mock theta function $\omega(q)$ (2016) (11)
Your hit parade: The top ten most fascinating formulas in Ramanujan's lost notebook (2008) (11)
Lattice Gauge Theory, Orthogonal Polynomials and q-Hypergeometric Functions (1984) (11)
Shorter Notes: On Ramanujan's Summation of 1 ψ 1 (a; b; z) (1969) (11)
Ramanujan revisited : proceedings of the Centenary Conference, University of Illinois at Urbana-Champaign, June 1-5, 1987 (1988) (11)
Some Questions Concerning Computer-Generated Proofs of a Binomial Double- Sum Identy (1993) (10)
FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS (2018) (10)
On the Burge correspondence between partitions and binary words (1985) (10)
Partitions with Early Conditions (2013) (10)
The Geometric Series in Calculus (1998) (10)
The Rogers–Ramanujan Identities (1974) (10)
On the Alder polynomials and a new generalization of the Rogers-Ramanujan identities (1975) (10)
Further Problems on Partitions (1987) (10)
On a theorem of Schur and Gleissberg (1971) (10)
q-ENGEL SERIES EXPANSIONS AND SLATER'S IDENTITIES (2001) (9)
Ramanujan's congruences and Dyson's crank (2005) (9)
The Rogers-Ramanujan identities without Jacobi's triple product (1987) (9)
On the Number of Even Parts in All Partitions of n into Distinct Parts (2020) (9)
The Theory of Compositions (I): the Ordered Factorizations of n and a Conjecture of C. Long (1975) (9)
a-Gaussian Polynomials and Finite Rogers-Ramanujan Identities (2005) (8)
ON q-SERIES IDENTITIES ARISING FROM LECTURE HALL PARTITIONS (2009) (8)
A Refinement of the Alladi–Schur Theorem (2019) (8)
Carlitz and the general 3φ2 (2007) (8)
Basis partition polynomials, overpartitions and the Rogers-Ramanujan identities (2015) (8)
MACMAHON’S PARTITION ANALYSIS XI: HEXAGONAL PLANE PARTITIONS (2004) (8)
m-ary partitions with no gaps: A characterization modulo m (2016) (8)
Bailey Pairs With Free Parameters, Mock Theta Functions and Tubular Partitions (2014) (8)
A new property of partitions with applications to the Rogers-Ramanujan identities (1971) (8)
The Andrews Festschrift: Seventeen Papers On Classical Number Theory And Combinatorics (2001) (8)
A Quartic Key Identity for a Partition Theorem of Göllnitz (1999) (8)
The dual of Göllnitz’s (big) partition theorem (2015) (8)
Determinants of Random Matrices and Jack Polynomials of Rectangular Shape (2003) (8)
The Bhargava-Adiga Summation and Partitions (2017) (7)
Truncation of the Rogers–Ramanujan Theta Series (1983) (7)
A Family of Combinatorial Identities (1972) (7)
Some identities associated with mock theta functions $$\omega (q)$$ω(q) and $$\nu (q)$$ν(q) (2017) (7)
Some identities associated with mock theta functions ω( q ) and ν( q ) (2017) (7)
On the Number of Even Parts in All Partitions of $$\varvec{n}$$ into Distinct Parts (2020) (7)
A Note On a Method of Erdős and the Stanley-Elder Theorems (2016) (7)
THE BAILEY TRANSFORM AND D.B. SEARS (1999) (7)
The Rademacher Legacy to Mathematics (1994) (7)
Some q-Orthogonal Polynomials and Related Hankel Determinants (2002) (6)
Drowning in the Data Deluge (2012) (6)
A hypergeometric analysis of the genus series for a class of 2-cell embeddings in orientable surfaces (1994) (6)
The Theory of Partitions: Frontmatter (1984) (6)
ON RAMANUJAN'S SUMMATION OF 1,61(a; b; z) (2016) (6)
A full extension of the Rogers-Ramanujan continued fraction (1995) (6)
Partition ideals of order 1, the Rogers-Ramanujan identities and computers (1976) (6)
On a Partition Problem of J. J. Sylvester (1970) (5)
On the Number of Distinct Multinomial Coefficients (2005) (5)
q-Hypergeometric and related functions (2010) (5)
Notes on the Dyson Conjecture (1980) (5)
A refinement of a partition identity and blocks of some modular characters (1996) (5)
Combinatorics of periodic ellipsoidal billiards (2019) (5)
Rogers-Ramanujan polynomials for modulus 6 (1996) (5)
A Combinatorial Proof of a Partition Function Limit (1971) (5)
Three aspects of partitions. (1990) (5)
Ramanujan and Partial Fractions (2005) (5)
The Selected Works of George E Andrews: (With Commentary) (2013) (5)
A proof of Lin's conjecture on inversion sequences avoiding patterns of relation triples (2021) (5)
An extension of Carlitz’s bipartition identity (1977) (5)
Partially ordered sets and the rogers-ramanujan identities (1975) (5)
A four parameter generalization of Göllnitz's (big) partition theorem (2000) (5)
A NOTE ON FRACTIONAL q-INTEGRALS AND APPLICATIONS TO GENERATING FUNCTIONS AND q-MITTAG–LEFFLER FUNCTION (2018) (4)
On Sloane's generalization of non-squashing stacks of boxes (2007) (4)
Computer-assisted explorations of rogers-ramanujan type identities (2002) (4)
Note on a partition theorem (1970) (4)
Lagrange Inversion Formula (1999) (4)
Legendre theorems for subclasses of overpartitions (2016) (4)
Engel Expansions of q-Series by Computer Algebra (2001) (4)
PARTITIONS AND THE GAUSSIAN SUM (1991) (4)
Arithmetic Properties of m-ary Partitions Without Gaps (2017) (3)
On the Wall polynomials and the L-M-W conjectures (1984) (3)
Linked partition ideals and the Alladi-Schur theorem (2021) (3)
Binary partitions and binary partition polytopes (2017) (3)
Dyson’s “Favorite” Identity and Chebyshev Polynomials of the Third and Fourth Kind (2019) (3)
Schmidt-type theorems for partitions with uncounted parts (2022) (3)
Some Debts I Owe (2001) (3)
Euler and the Pentagonal Number Theorem (2005) (3)
Mathematical Education: A Case for Balance (1996) (3)
The Alladi–Schur Polynomials and Their Factorization (2016) (3)
A simple proof of Ramanujans summation of the 1 ? 1 (1978) (3)
Simplicity and Surprise in Ramanujan's “Lost” Notebook (1997) (3)
MacMahon’s Dream (2012) (3)
A New Partition Identity Coming from Complex Dynamics (2001) (3)
Lattice Path Combinatorics and Applications (2019) (3)
An algorithmic approach to discovering and provingq-series identities (2001) (2)
The mth Largest and mth Smallest Parts of a Partition (2016) (2)
Implications of the Macmahon conjecture (1977) (2)
A Set of Nonlinear Equations (L. Carlitz) (1973) (2)
Separable integer partition classes (2020) (2)
Review: Jonathan M. Borwein and Peter B. Borwein, Pi and the AGM: A study in analytic number theory and computational complexity (1990) (2)
On Radix Representation and the Euclidean Algorithm (1969) (2)
On the $k$-measure of partitions and distinct partitions (2021) (2)
A Bailey Lemma from the Quintuple Product (2002) (2)
An identity of sylvester and the rogers-ramanujan identities (1989) (2)
A Simple Proof of Ramanujan's Summation of the sub 1 psi sub 1. (1976) (2)
Correction to: A Stanley–Elder theorem on Cranks and Frobenius symbols (2021) (2)
The meaning of Ramanujan now and for the future (2009) (2)
Special Functions: Bessel Functions and Confluent Hypergeometric Functions (1999) (2)
Sequences in Partitions, Double q-Series and the Mock Theta Function ρ3(q) (2020) (2)
Mac Mahon's Prime Numbers of Measurement (1975) (2)
Anti-palindromic compositions (2021) (2)
On a Conjecture of Hanna Connecting Distinct Part and Complete Partitions (2020) (2)
Modular equations and Ramanujan’s Chapter 16, Entry 29 (1994) (1)
Application of Scratchpad to Problems in Special Functions and Combinatorics (1987) (1)
The Rademacher Legacy To Mathematics: The Centenary Conference In Honor Of Hans Rademacher, July 21-25, 1992, The Pennsylvania State University (1994) (1)
87. Binomial Coefficient Identities and Hypergeometric Series (2009) (1)
An algebraically derived $q$-analogue of a character sum associated with a class of semiregular permutations. (1990) (1)
Lambert series, false theta functions, and partitions (1972) (1)
Advanced Problems: 5837,5860-5865 (1972) (1)
On the Rogers-Ramanujan identities and partial $q$-difference equations (1972) (1)
Topics in Number Theory (1999) (1)
Partition identities with mixed mock modular forms (2016) (1)
The Man Who Knew Infinity : A Report on the Movie (2016) (1)
A Multinomial Summation (Donald Richards and Stamatis Cambanis) (1988) (1)
Refinements of Beck-type partition identities (2022) (1)
Height probabilities in solid-on-solid models. I (1986) (1)
The Theory of Partitions: The Elementary Theory of Partitions (1984) (1)
Partition Identities for Two-Color Partitions (2022) (1)
How Ramanujan may have discovered the mock theta functions (2019) (1)
ON RAMANUJAN’S CONTINUED FRACTION FOR (q; q)∞/(q; q)∞ (2003) (1)
INFINITE FAMILIES OF STRANGE PARTITION CONGRUENCES FOR BROKEN 2DIAMONDS 2DIAMONDS 2DIAMONDS (2009) (1)
Bressoud polynomials, Rogers–Ramanujan type identities, and applications (2016) (1)
A Preliminary Version of Ramanujan’s Paper “On the Product $\prod\limits _{n=0}^{\infty }\left [1 +{ \left ( \tfrac{x} {a+nd}\right )}^{3}\right ]$” (2013) (1)
Highly Composite Numbers (2012) (1)
A result on q-series and its application to quadratic forms (1990) (1)
The Continuing Mystery (2018) (1)
Sequences in overpartitions (2021) (1)
On the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>k</mml:mi></mml:math>-measure of partitions and distinct partitions (2022) (0)
Incomplete Elliptic Integrals (2005) (0)
The Theory of Partitions: The Asymptotics of Infinite Product Generating Functions (1984) (0)
On a Conjecture of Hanna Connecting Distinct Part and Complete Partitions (2020) (0)
Special Functions: Euler–Maclaurin Summation Formula (1999) (0)
Partitions and the Minimal Excludant (2019) (0)
Fifth Order Mock Theta Functions: Proof of the Mock Theta Conjectures (2018) (0)
Rogers-Ramanujan Partitions: 10627 (2000) (0)
Bailey’s Lemma and Theta Expansions (2009) (0)
The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series (2005) (0)
Series Representable in Terms of Eisenstein Series (2009) (0)
Partitions with Parts Separated by Parity (2019) (0)
Symmetric expansions of very well-poised basic hypergeometric series (2018) (0)
Two Letters on Eisenstein Series Written from Matlock House (2009) (0)
Ismail’s Proof of the ₁₁-Summation and Jacobi’s Triple Product Identity (1986) (0)
On the convergence of infinite series and products (2004) (0)
Preface (2012) (0)
Ranks and Cranks, Part III (2012) (0)
Periodicity under Shift and Complement: 10823 (2002) (0)
The Theory of Partitions: Preface (1984) (0)
FURTHER ASPECTS OF ORDERED SET SORTING (1984) (0)
Special Functions: Topics in Orthogonal Polynomials (1999) (0)
The Theory of Partitions: Preface to Paperback Edition (1984) (0)
Ramanujan Journal: Preface (2007) (0)
Double Series of Bessel Functions and the Circle and Divisor Problems (2013) (0)
Ramanujan for the Twenty First Century (0)
The Mock Theta Conjectures: Equivalence (2018) (0)
Problems Dedicated to Emory P. Starke: S6-S8 (1979) (0)
Partitions and Pentagonal Numbers: 10628 (2000) (0)
The Mac Mahon conjecture (1975) (0)
Restricted bipartitions (2001) (0)
Special Functions: Special Orthogonal Polynomials (1999) (0)
The Theory of Partitions: The Hardy–Ramanujan–Rademacher Expansion of p ( n ) (1984) (0)
Two Partial Unpublished Manuscripts on Sums Involving Primes (2013) (0)
Tenth Order Mock Theta Functions: Part IV (2018) (0)
Rogers-Ramanujan Continued Fraction and Its Modular Properties (2005) (0)
ON THE PARITY OF THE GENERALISED FROBENIUS PARTITION FUNCTIONS $\boldsymbol {\phi _k(n)}$ (2022) (0)
A Partial Manuscript on Fourier and Laplace Transforms (2013) (0)
The Theory of Partitions: Restricted Partitions and Permutations (1984) (0)
The Theory of Partitions: A General Theory of Partition Identities (1984) (0)
C. R. Rao (1920–) Celebrates His 101st Birthday (2022) (0)
Fifth Order Mock Theta Functions: Elementary Identities (2018) (0)
Reviews (2001) (0)
Special Functions: Hypergeometric Transformations and Identities (1999) (0)
The Theory of Partitions: Identities of the Rogers–Ramanujan Type (1984) (0)
Euler’s Pentagonal Number Theorem and the Rogers-Fine Identity (2012) (0)
The Theory of Partitions: Higher–Dimensional Partitions (1984) (0)
TWO THEOREMS OF EULER AND A GENERAL (2016) (0)
Elementary Problems: E1945-E1954 (1967) (0)
Congruences for Generalized Tau Functions on Page 178 (2012) (0)
Binary Representations and Theta Function (2018) (0)
Miscellaneous Results on Eisenstein Series (2009) (0)
Basic Hypergeometric Series. By George Gasper and Mizan Rahman (1991) (0)
On Estimates in Number Theory (1963) (0)
Series Solutions of Differential Equations (1999) (0)
Rogers-Ramanujan-Slater Type Identities (2005) (0)
Miscellaneous Results in Analysis (2013) (0)
Advanced Problems: 6560-6562 (1987) (0)
Binary partitions and binary partition polytopes (2017) (0)
The Hard Hexagon Model (1986) (0)
Formulas for partition functions (2004) (0)
Combinatorial interpretations of congruences for the spt-function (2012) (0)
A Preliminary Version of Ramanujan’s Paper “On the Integral $$\int _{0}^{x}\frac{{\tan }^{-1}t} {t} dt$$” (2013) (0)
Infinite Integrals of q-Products (2005) (0)
Tenth Order Mock Theta Functions: Part III, Identities for χ 10 ( q ), X 10 ( q ) (2018) (0)
On the Parity of the Generalized Frobenius Partition Functions $\phi_k(n)$ (2022) (0)
Matthew Hopkins; Witch Finder General (1977) (0)
Hadamard Products for Two q-Series (2005) (0)
Solutions and Hints to Selected Exercises (2019) (0)
SCRATCHPAD Explorations for Elliptic Theta Functions (2020) (0)
Identities Related to the Riemann Zeta Function and Periodic Zeta Functions (2013) (0)
8. PARTITIONS (2005) (0)
Review: G. de B. Robinson, The collected papers of Alfred Young 1873–1940 (1979) (0)
Special Functions: Bibliography (1999) (0)
Two Identities Involving a Mordell Integral and Appell–Lerch Sums (2018) (0)
A Partition Function Identity (1985) (0)
A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions (2005) (0)
On a conjecture of Guinand for the plane partition function (1971) (0)
Integer Partitions with Even Parts Below Odd Parts and the Mock Theta Functions (2018) (0)
Other q-continued Fractions (2005) (0)
Linked partition ideals and a family of quadruple summations (2023) (0)
The Theory of Partitions: Congruence Properties of Partition Functions (1984) (0)
Preface (2021) (0)
Problem 10823 (2000) (0)
On the work of Basil Gordon (2006) (0)
Bailey Pairs With Free Parameters, Mock Theta Functions and Tubular Partitions (2014) (0)
Hook length and symplectic content in partitions (2022) (0)
Variations on the Rogers-Ramanujan continued fraction in Ramanujan's notebooks (1989) (0)
Theorems Featuring the Gamma Function (2013) (0)
Plane partitions IV: A conjecture of Mills—Robbins—Rumsey (1987) (0)
Eisenstein Series and Modular Equations (2009) (0)
The Ramanujan Journal: Preface (2002) (0)
Commentary on and Corrections to the First Four Volumes (2018) (0)
Hypergeometric Identities Associated with Statistics on Words (2013) (0)
Miscellaneous Results on Elliptic Functions and Theta Functions (2009) (0)
Topics in Number Theory: In Honor of B. Gordon and S. Chowla (2011) (0)
The Legacy of Dick Askey (1933–2019) (2022) (0)
Summability and Fractional Integration (1999) (0)
The mth Largest and mth Smallest Parts of a Partition (2016) (0)
Bressoud polynomials, Rogers–Ramanujan type identities, and applications (2015) (0)
The Heine Transformation (2009) (0)
2 Infinite Products and Partitions (2007) (0)
Integrals of Theta Functions (2005) (0)
CHARACTERIZING THE NUMBER OF m–ARY PARTITIONS WITH NO GAPS MODULO m (2015) (0)
The Sears– Thomae Transformation (2009) (0)
Koshliakov’s Formula and Guinand’s Formula (2013) (0)
Theorems about the Partition Function on Pages 189 and 182 (2012) (0)
Special Functions: Spherical Harmonics (1999) (0)
The Theory of Partitions: Partitions in Combinatorics (1984) (0)
The dual of Göllnitz’s (big) partition theorem (2014) (0)
A Partial Manuscript Connected with Ramanujan’s Paper “Some Definite Integrals” (2013) (0)
Growing Ferrers boards (2004) (0)
Integral Analogues of Theta Functions and Gauss Sums (2013) (0)
Concave and convex compositions (2012) (0)
q-Orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions (2012) (0)
Special Functions: Introduction to q -Series (1999) (0)
Preface (2014) (0)
Problems in Diophantine Approximation (2013) (0)
The Theory of Partitions: Computations for Partitions (1984) (0)
Review: Richard P. Stanley, Enumerative combinatorics,vol. I (1987) (0)
A Pair of Theta Function Identities (L. Carlitz) (1974) (0)
Problems: 10627-10633 (1997) (0)
Medical problems encountered in the handling of radiosotopes. (1959) (0)
Theta Function Identities (2009) (0)
A Stanley–Elder theorem on Cranks and Frobenius symbols (2021) (0)
The Theory of Partitions: Vector or Multipartite Partitions (1984) (0)
Third Order Mock Theta Functions: Partial Fraction Expansions (2018) (0)
Formulas for the Power Series Coefficients of Certain Quotients of Eisenstein Series (2009) (0)
Special Functions: The Hypergeometric Functions (1999) (0)
Lattice point on the boundary of convex bodies (1960) (0)
Combinatory Analysis 2008 : Partitions , q-series , and Applications (1998) (0)
Ramanujan’s Last Letter to Hardy (2018) (0)
Functional Equations for Products of Mellin Transforms (2013) (0)
Chapter 2 Partitions With Distinct Evens (2008) (0)
Ramanujan’s Cubic Analogue of the Classical Ramanujan–Weber Class Invariants (2009) (0)
Special Functions: Orthogonal Polynomials (1999) (0)
Two Partial Manuscripts on Euler’s Constant γ (2013) (0)
The Theory of Partitions: Compositions and Simon Newcomb's Problem (1984) (0)
Compositions and Chebyshev Polynomials (2021) (0)
Preface (2021) (0)
Partitions associated with the Ramanujan/Watson mock theta functions ω(q), ν(q)and ϕ(q) (2015) (0)
Arithmetic Properties of m-ary Partitions Without Gaps (2017) (0)
Asymptotic Formulas for Continued Fractions (2005) (0)
A Combinatorial Problem (1975) (0)
Combinatory analysis : dedicated to George Andrews (2013) (0)
Euler and beyond (2004) (0)
The Theory of Partitions: Sieve Methods Related to Partitions (1984) (0)
Number theory, invariants, and applications (1986) (0)
Se p 20 05 On the Number of Distinct Multinomial Coefficients (2006) (0)
Tenth Order Mock Theta Functions: Part I, The First Four Identities (2018) (0)
An Empirical Study of the Rogers-Ramanujan Identities (2005) (0)
Finite Rogers-Ramanujan Continued Fractions (2005) (0)
The Rogers-Fine Identity (2005) (0)
Further developments in MacMahon's partition analysis (abstract only) (2008) (0)
Fragments on Lambert Series (2005) (0)
A Strange, Enigmatic Partial Manuscript (2013) (0)
RELATIONS BETWEEN COMBINATORICS AND OTHER PARTS OF MATHEMATICS (2012) (0)
Transformation Formulas: 10th Order Mock Theta Functions (2018) (0)
A Pair of Identities (L. Carlitz) (1967) (0)
Recent Work on Mock Theta Functions (2018) (0)
Infinite Series Generating Functions (1984) (0)
On the Geometry of Numbers in Elementary Number Theory (1967) (0)

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