George E. Andrews

Articles in Scholarly Journals [Incomplete List]

  1. Preface
    The Ramanujan Journal, vol. 13, no. 1-3, pp. 5–6, 2007
  2. Carlitz and the general 3φ2
    The Ramanujan Journal, vol. 13, no. 1-3, pp. 311–318, 2007
  3. The Bailey transform and false theta functions
    The Ramanujan Journal, vol. 14, no. 1, pp. 173–188, 2007
  4. On Sloane's generalization of non-squashing stacks of boxes
    Discrete Mathematics, vol. 307, no. 9-10, pp. 1185–1190, 2007
  5. Partitions, Durfee symbols, and the Atkin–Garvan moments of ranks
    Inventiones mathematicae, vol. 169, no. 1, pp. 37–73, 2007
  6. The product of partial theta functions
    Advances in Applied Mathematics, vol. 39, no. 1, pp. 116–120, 2007
  7. Integrals, partitions and MacMahon's Theorem
    Journal of Combinatorial Theory, Series A, vol. 114, no. 3, pp. 545–554, 2007
  8. On the work of Basil Gordon
    Journal of Combinatorial Theory, Series A, vol. 113, no. 1, pp. 21–38, 2006
  9. On the number of distinct multinomial coefficients
    Journal of Number Theory, vol. 118, no. 1, pp. 15–30, 2006
  10. Ramanujan's ?Lost? notebook IX: the partial theta function as an entire function
    Advances in Mathematics, vol. 191, no. 2, pp. 408–422, 2005
  11. Ramanujan's congruences and Dyson's crank
    Proceedings of the National Academy of Sciences, vol. 102, no. 43, pp. 15277–15277, 2005
  12. Continued fractions with three limit points
    Advances in Mathematics, vol. 192, no. 2, pp. 231–258, 2005
  13. Inaugural Article: Partitions with short sequences and mock theta functions
    Proceedings of the National Academy of Sciences, vol. 102, no. 13, pp. 4666–4671, 2005
  14. Plane partitions VI: Stembridge's TSPP theorem
    Advances in Applied Mathematics, vol. 34, no. 4, pp. 709–739, 2005
  15. Ramanujan's ?Lost? Notebook VIII: the entire Rogers?Ramanujan function*1
    Advances in Mathematics, vol. 191, no. 2, pp. 393–407, 2005
  16. A New Partition Identity Coming from Complex Dynamics
    Annals of Combinatorics, vol. 9, no. 3, pp. 245–257, 2005
  17. Extension of Abel's Lemma with q-Series Implications
    The Ramanujan Journal, vol. 10, no. 2, pp. 137–152, 2005
  18. Inaugural Article: Biography of George E. Andrews
    Proceedings of the National Academy of Sciences, vol. 102, no. 13, pp. 4663–4665, 2005
  19. A new four parameter q-series identity and its partition implications
    Inventiones Mathematicae, vol. 153, no. 2, pp. 231–260, 2003
  20. The Ramanujan Journal, vol. 7, no. 1/3, pp. 385–400, 2003
  21. Determinants of Random Matrices and Jack Polynomials of Rectangular Shape
    Studies in Applied Mathematics, vol. 110, no. 4, pp. 377–390, 2003
  22. Transactions of the American Mathematical Society, vol. 355, no. 06, pp. 2397–2412, 2003
  23. Transactions of the American Mathematical Society, vol. 355, no. 11, pp. 4639–4657, 2003
  24. Transactions of the American Mathematical Society, vol. 354, no. 10, pp. 3835–3854, 2002
  25. Some q-orthogonal polynomials and related Hankel determinants
    Rocky Mountain Journal of Mathematics, vol. 32, no. 2, pp. 429–442, 2002
  26. The WP-Bailey Tree and its Implications
    Journal of the London Mathematical Society, vol. 66, no. 3, pp. 529–549, 2002
  27. An Identity Relating a Theta Function to a Sum of Lambert Series
    Bulletin of the London Mathematical Society, vol. 33, no. 1, pp. 25–31, 2001
  28. Restricted bipartitions
    Discrete Mathematics, vol. 232, no. 1-3, pp. 85–89, 2001
  29. An algebraic identity of F.H. Jackson and its implications for partitions
    Discrete Mathematics, vol. 232, no. 1-3, pp. 77–83, 2001
  30. MacMahon's Partition Analysis VIII. Plane Partition Diamonds
    Advances in Applied Mathematics, vol. 27, no. 2-3, pp. 231–242, 2001
  31. An algorithmic approach to discovering and provingq-series identities
    Algorithmica, vol. 29, no. 1-2, pp. 34–43, 2001
  32. MacMahon's Partition Analysis: The Omega Package
    European Journal of Combinatorics, vol. 22, no. 7, pp. 887–904, 2001
  33. MacMahon's Partition Analysis VI: A New Reduction Algorithm
    Annals of Combinatorics, vol. 5, no. 3-4, pp. 251–270, 2001
  34. The Ranks and Cranks of Partitions Moduli 2, 3, and 4
    Journal of Number Theory, vol. 85, no. 1, pp. 74–84, 2000
  35. Engel Expansions and the Rogers–Ramanujan Identities
    Journal of Number Theory, vol. 80, no. 2, pp. 273–290, 2000
  36. Umbral Calculus, Bailey Chains, and Pentagonal Number Theorems
    Journal of Combinatorial Theory, Series A, vol. 91, no. 1-2, pp. 464–475, 2000
  37. MacMahon's Partition Analysis: II Fundamental Theorems
    Annals of Combinatorics, vol. 4, no. 3, pp. 327–338, 2000
  38. An Infinite Family of Engel Expansions of Rogers–Ramanujan Type
    Advances in Applied Mathematics, vol. 25, no. 1, pp. 2–11, 2000
  39. A Quartic Key Identity for a Partition Theorem of Göllnitz,
    Journal of Number Theory, vol. 75, no. 2, pp. 220–236, 1999
  40. Stacked lattice boxes
    Annals of Combinatorics, vol. 3, no. 2-4, pp. 115–130, 1999
  41. q-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher
    Discrete Mathematics, vol. 204, no. 1-3, pp. 15–25, 1999
  42. Journal of the American Mathematical Society, vol. 12, no. 03, pp. 677–703, 1999
  43. Pfaff's method (I): The Mills-Robbins-Rumsey determinant
    Discrete Mathematics, vol. 193, no. 1-3, pp. 43–60, 1998
  44. Determinants in Plane Partition Enumeration
    European Journal of Combinatorics, vol. 19, no. 3, pp. 273–282, 1998
  45. A Trinomial Analogue of Bailey's Lemma and N = 2 Superconformal Invariance
    Communications in Mathematical Physics, vol. 192, no. 2, pp. 245–260, 1998
  46. The Geometric Series in Calculus
    The American Mathematical Monthly, vol. 105, no. 1, p. 36, 1998
  47. Simplicity and Surprise in Ramanujan's "Lost" Notebook
    The American Mathematical Monthly, vol. 104, no. 10, p. 918, 1997
  48. q-Series Arising From The Study of Random Graphs
    SIAM Journal on Discrete Mathematics, vol. 10, no. 1, p. 41, 1997
  49. The Ramanujan Journal, vol. 1, no. 1, pp. 91–99, 1997
  50. The Ramanujan Journal, vol. 1, no. 1, pp. 7–23, 1997
  51. Pfaff's method (II): diverse applications
    Journal of Computational and Applied Mathematics, vol. 68, no. 1-2, pp. 15–23, 1996
  52. A refinement of a partition identity and blocks of some modular characters
    Archiv der Mathematik, vol. 66, no. 2, pp. 101–113, 1996
  53. Refinements and Generalizations of Capparelli′s Conjecture on Partitions
    Journal of Algebra, vol. 174, no. 2, pp. 636–658, 1995
  54. On a Conjecture of Peter Borwein
    Journal of Symbolic Computation, vol. 20, no. 5-6, pp. 487–501, 1995
  55. A Full Extension of the Rogers-Ramanujan Continued Fraction
    Proceedings of the American Mathematical Society, vol. 123, no. 11, p. 3343, 1995
  56. Partition Identities and Labels for Some Modular Characters
    Transactions of the American Mathematical Society, vol. 344, no. 2, p. 597, 1994
  57. SIAM Journal on Mathematical Analysis, vol. 25, no. 2, Article ID 0525011, 1994
  58. Plane partitions V: The TSSCPP conjecture
    Journal of Combinatorial Theory, Series A, vol. 66, no. 1, pp. 28–39, 1994
  59. On the difference of successive Gaussian polynomials
    Journal of Statistical Planning and Inference, vol. 34, no. 1, pp. 19–22, 1993
  60. A Short Proof of Jacobi's Formula for the Number of Representations of an Integer as a Sum of Four Squares
    The American Mathematical Monthly, vol. 100, no. 3, p. 274, 1993
  61. Ramanujan's ?lost? notebook VII: The sixth order mock theta functions
    Advances in Mathematics, vol. 89, no. 1, pp. 60–105, 1991
  62. A Hardy-Ramanujan formula for restricted partitions
    Journal of Number Theory, vol. 38, no. 2, pp. 135–144, 1991
  63. A result on q-series and its application to quadratic forms
    Journal of Number Theory, vol. 34, no. 1, pp. 54–62, 1990
  64. Euler's Ëxemplum Memorabile Inductionis Fallacis" and q-Trinomial Coefficients
    Journal of the American Mathematical Society, vol. 3, no. 3, p. 653, 1990
  65. A Motivated Proof of the Rogers-Ramanujan Identities
    The American Mathematical Monthly, vol. 96, no. 5, p. 401, 1989
  66. Generalizations of Cauchy's Summation Theorem for Schur Functions
    Transactions of the American Mathematical Society, vol. 310, no. 2, p. 805, 1988
  67. Partitions and indefinite quadratic forms
    Inventiones Mathematicae, vol. 91, no. 3, pp. 391–407, 1988
  68. Rogers-Ramanujan identities for partitions with ? copies of ?
    Journal of Combinatorial Theory, Series A, vol. 45, no. 1, pp. 40–49, 1987
  69. Catalan numbers, -Catalan numbers and hypergeometric series
    Journal of Combinatorial Theory, Series A, vol. 44, no. 2, pp. 267–273, 1987
  70. Plane partitions IV: A conjecture of Mills—Robbins—Rumsey
    Aequationes Mathematicae, vol. 33, no. 2-3, pp. 230–250, 1987
  71. Plane partitions IV: A conjecture of Mills—Robbins—Rumsey
    Aequationes Mathematicae, vol. 33, no. 1, pp. 230–250, 1987
  72. Lattice gas generalization of the hard hexagon model. III.q-Trinomial coefficients
    Journal of Statistical Physics, vol. 47, no. 3-4, pp. 297–330, 1987
  73. Lattice gas generalization of the hard hexagon model. II. The local densities as elliptic functions
    Journal of Statistical Physics, vol. 44, no. 5-6, pp. 713–728, 1986
  74. Lattice gas generalization of the hard hexagon model. I. Star-triangle relation and local densities
    Journal of Statistical Physics, vol. 44, no. 1-2, pp. 249–271, 1986
  75. Shanks' convergence acceleration transform, Pad� approximants and partitions
    Journal of Combinatorial Theory, Series A, vol. 43, no. 1, pp. 70–84, 1986
  76. EPHKA! NUM = Δ + Δ + Δ
    Journal of Number Theory, vol. 23, no. 3, pp. 285–293, 1986
  77. Hook differences and lattice paths
    Journal of Statistical Planning and Inference, vol. 14, no. 1, pp. 5–14, 1986
  78. The Fifth and Seventh Order Mock Theta Functions
    Transactions of the American Mathematical Society, vol. 293, no. 1, p. 113, 1986
  79. Hecke Modular Forms and the KAC-Peterson Identities
    Transactions of the American Mathematical Society, vol. 283, no. 2, p. 451, 1984
  80. Identities in combinatorics III: Further aspects of ordered set sorting
    Discrete Mathematics, vol. 49, no. 3, pp. 223–236, 1984
  81. Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
    Journal of Statistical Physics, vol. 35, no. 3-4, pp. 193–266, 1984
  82. Another q-Extension of the Beta Function
    Proceedings of the American Mathematical Society, vol. 81, no. 1, p. 97, 1981
  83. The Hard-Hexagon Model and Rogers--Ramanujan Type Identities
    Proceedings of the National Academy of Sciences, vol. 78, no. 9, pp. 5290–5292, 1981
  84. SIAM Journal on Mathematical Analysis, vol. 11, no. 5, Article ID 0511070, 1980
  85. An Introduction to Ramanujan's "lost" Notebook
    The American Mathematical Monthly, vol. 86, no. 2, p. 89, 1979
  86. A Note on Partitions and Triangles With Integer Sides
    The American Mathematical Monthly, vol. 86, no. 6, p. 477, 1979
  87. Partitions and Durfee Dissection
    American Journal of Mathematics, vol. 101, no. 3, p. 735, 1979
  88. Plane partitions (III): The weak Macdonald conjecture
    Inventiones Mathematicae, vol. 53, no. 3, pp. 193–225, 1979
  89. Divisibility Properties of the q-Tangent Numbers
    Proceedings of the American Mathematical Society, vol. 68, no. 3, p. 380, 1978
  90. An Extension of Carlitz's Bipartition Identity
    Proceedings of the American Mathematical Society, vol. 63, no. 1, p. 180, 1977
  91. Partitions,q-series and the Lusztig-macdonald-wall conjectures
    Inventiones Mathematicae, vol. 41, no. 1, pp. 91–102, 1977
  92. SIAM Journal on Mathematical Analysis, vol. 7, no. 3, Article ID 0507026, 1976
  93. Identities in combinatorics, I: on sorting two ordered sets
    Discrete Mathematics, vol. 11, no. 2, pp. 97–106, 1975
  94. Partially ordered sets and the rogers-ramanujan identities
    Aequationes Mathematicae, vol. 12, no. 1, pp. 94–107, 1975
  95. Identities in Combinatorics. II: A q-Analog of the Lagrange Inversion Theorem
    Proceedings of the American Mathematical Society, vol. 53, no. 1, p. 240, 1975
  96. On the Alder Polynomials and a New Generalization of the Rogers-Ramanujan Identities
    Transactions of the American Mathematical Society, vol. 204, p. 40, 1975
  97. A Theorem on Reciprocal Polynomials with Applications to Permutations and Compositions
    The American Mathematical Monthly, vol. 82, no. 8, p. 830, 1975
  98. An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
    Proceedings of the National Academy of Sciences, vol. 71, no. 10, pp. 4082–4085, 1974
  99. SIAM Review, vol. 16, no. 4, Article ID 1016081, 1974
  100. SIAM Review, vol. 16, no. 4, Article ID 1016096, 1974
  101. Sieves in the Theory of Partitions
    American Journal of Mathematics, vol. 94, no. 4, p. 1214, 1972
  102. Congruence properties of the m-ary partition function
    Journal of Number Theory, vol. 3, no. 1, pp. 104–110, 1971
  103. On a theorem of Schur and Gleissberg
    Archiv der Mathematik, vol. 22, no. 1, pp. 165–167, 1971
  104. On a Transformation of Bilateral Series with Applications
    Proceedings of the American Mathematical Society, vol. 25, no. 3, p. 554, 1970
  105. A General Theorem on Partitions with Difference Conditions
    American Journal of Mathematics, vol. 91, no. 1, p. 18, 1969
  106. A Generalization of the Classical Partition Theorems
    Transactions of the American Mathematical Society, vol. 145, p. 205, 1969
  107. Two Theorems of Euler and a General Partition Theorem
    Proceedings of the American Mathematical Society, vol. 20, no. 2, p. 499, 1969
  108. Shorter Notes: On Ramanujan's Summation of 1 ψ 1 (a; b; z)
    Proceedings of the American Mathematical Society, vol. 22, no. 2, p. 552, 1969
  109. On Partition Functions Related to Schur's Second Partition Theorem
    Proceedings of the American Mathematical Society, vol. 19, no. 2, p. 441, 1968
  110. A Generalization of the Gollnitz-Gordon Partition Theorems
    Proceedings of the American Mathematical Society, vol. 18, no. 5, p. 945, 1967
  111. An Analytic Proof of the Rogers-Ramanujan-Gordon Identities
    American Journal of Mathematics, vol. 88, no. 4, p. 844, 1966
  112. On the Theorems of Watson and Dragonette for Ramanujan's Mock Theta Functions
    American Journal of Mathematics, vol. 88, no. 2, p. 454, 1966
  113. Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
    Proceedings of the American Mathematical Society, vol. 16, no. 2, p. 333, 1965
  114. A Lower Bound for the Volume of Strictly Convex Bodies with many Boundary Lattice Points
    Transactions of the American Mathematical Society, vol. 106, no. 2, p. 270, 1963
  115. On Estimates in Number Theory
    The American Mathematical Monthly, vol. 70, no. 10, p. 1063, 1963
  116. An Asymptotic Expression for the Number of Solutions of a General Class of Diophantine Equations
    Transactions of the American Mathematical Society, vol. 99, no. 2, p. 272, 1961