All Stories

  1. Plane Partitions and Divisors
  2. Plane Partitions and a Problem of Josephus
  3. n-Color Partitions into Distinct Parts as Sums over Partitions
  4. Plane Partitions as Sums over Partitions
  5. Additive evaluations of the number of divisors
  6. A q-Series Congruence Inspired by Andrews and Ramanujan
  7. 4-regular partitions and the pod function
  8. From Symmetric Functions to Partition Identities
  9. A reversal of Schur’s partition theorem
  10. Dyson’s crank and unimodal compositions
  11. Families of Ramanujan-Type Congruences Modulo 4 for the Number of Divisors
  12. On Ramanujan-type congruences for multiplicative functions
  13. Generalizations of Stanley’s Theorem: Combinatorial Proofs and Related Inequalities
  14. Connections Between Partitions and Divisors Related to the Parity of the Partition Function
  15. Distinct partitions and overpartitions
  16. A further look at cubic partitions
  17. Alignments of permutations: their number, mean number, and total number of cycles
  18. A further look at a generalization of Waring’s formula
  19. On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts
  20. Almost 3-regular overpartitions
  21. On a nonlinear relation for computing the overpartition function
  22. Linear inequalities concerning partitions into distinct parts
  23. Combinatorial proof of the minimal excludant theorem
  24. On the number of partitions into parts not congruent to 0, $$\pm 3 \pmod {12}$$
  25. Generalized Lambert Series and Euler’s Pentagonal Number Theorem
  26. Rank partition functions and truncated theta identities
  27. A Theta Identity of Gauss Connecting Functions from Additive and Multiplicative Number Theory
  28. Infinite Product Formulae for Generating Functions for Sequences of Squares
  30. The reciprocal of $$(q;q)_n$$ as sums over partitions
  31. The powers of two as sums over partitions
  32. On the sum of parts with multiplicity at least 2 in all the partitions of n
  33. Polygonal numbers and Rogers–Ramanujan–Gordon theorem
  34. q-Series congruences involving statistical mechanics partition functions in regime III and IV of Baxter’s solution of the hard-hexagon model
  35. On the partitions into distinct parts and odd parts
  36. The r-Stirling numbers of the first kind in terms of the Möbius function
  37. On the Number of Even Parts in All Partitions of $$\varvec{n}$$ into Distinct Parts
  38. Bernoulli numbers and symmetric functions
  39. Combinatorial proofs of two theorems related to the number of even parts in all partitions of n into distinct parts
  40. On identities of Watson type
  41. A Truncated Theta Identity of Gauss and Overpartitions into Odd Parts
  42. A Truncated Theta Identity of Gauss and Overpartitions into Odd Parts
  43. On Two Truncated Quintuple Series Theorems
  44. A general method for proving the non-trivial linear homogeneous partition inequalities
  45. Bisected theta series, least r-gaps in partitions, and polygonal numbers
  46. Two Symmetric Identities Involving Complete and Elementary Symmetric Functions
  47. Some notes on the(q,t)-Stirling numbers
  48. Factorization theorems for generalized Lambert series and applications
  49. Jacobi’s Four and Eight Squares Theorems and Partitions into Distinct Parts
  50. Truncated Theta Series and Rogers-Ramanujan Functions
  51. A family of lacunary recurrences for Fibonacci numbers
  52. A Partition Identity Related to Stanley’s Theorem
  53. Combinatorial proofs of two truncated theta series theorems
  54. Euler–Riemann Zeta Function and Chebyshev–Stirling Numbers of the First Kind
  55. The partition function p(n) in terms of the classical Möbius function
  56. New Connections Between Functions from Additive and Multiplicative Number Theory
  57. Truncated theta series and a problem of Guo and Zeng
  58. An infinite sequence of inequalities involving special values of the Riemann zeta function
  59. A $q$-analogue for sums of powers
  60. Generalizations of two identities of Guo and Yang
  61. Lambert series and conjugacy classes inGL
  62. New relations for the number of partitions with distinct even parts
  63. Binomial transforms and integer partitions into parts of k different magnitudes
  64. The Riemann Zeta Function With Even Arguments as Sums Over Integer Partitions
  65. On the number of partitions into parts of
  66. Inequalities involving the generating function for the number of partitions into odd parts
  67. On the Arithmetic Mean of the Square Roots of the First n Positive Integers
  68. The Lambert series factorization theorem
  69. New convolutions for the number of divisors
  70. On families of linear recurrence relations for the special values of the Riemann zeta function
  71. New recurrences for Euler''s partition function
  72. Finite differences of Euler's zeta function
  73. From a Rogers’s identity to overpartitions
  74. Parity of sums of partition numbers and squares in arithmetic progressions
  75. New convolutions for complete and elementary symmetric functions
  76. Fast computation of the partition function
  77. A note on the partitions involving parts of k different magnitudes
  78. Connections between central factorial numbers and Bernoulli polynomials
  79. The cardinal sine function and the Chebyshev–Stirling numbers
  80. Combinatorial interpretations of a recent convolution for the number of divisors of a positive integer
  81. Padovan numbers as sums over partitions into odd parts
  82. Stirling numbers and integer partitions
  83. Asymptotics of the Chebyshev–Stirling numbers of the first kind
  84. The bisectional pentagonal number theorem
  85. Augmented monomials in terms of power sums
  86. A connection between Jacobi–Stirling numbers and Bernoulli polynomials
  87. A new look on the generating function for the number of divisors
  88. An Alternative to Faulhaber's Formula
  89. A double inequality involving Erdős-Borwein constants
  90. New upper bounds for the number of partitions into a given number of parts
  91. Some experiments with complete and elementary symmetric functions
  92. A new connection betweenr-Whitney numbers and Bernoulli polynomials
  93. A generalization of Euler’s pentagonal number recurrence for the partition function
  94. A generalization of the symmetry between complete and elementary symmetric functions
  95. A Note on q-Stirling Numbers
  96. On Some Power Sums of Sine or Cosine
  97. Analytic Number Theory, Approximation Theory, and Special Functions
  98. A note on the Jacobi–Stirling numbers
  99. A note on the r-Whitney numbers of Dowling lattices
  100. A note on the determinant of a Toeplitz-Hessenberg matrix
  101. A convolution for complete and elementary symmetric functions
  102. The truncated pentagonal number theorem
  103. Binary Diagrams for Storing Ascending Compositions
  104. Fast Algorithm for Generating Ascending Compositions