Arithmetic properties of overpartitions into odd parts
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Publication:858023
DOI10.1007/S00026-006-0293-7zbMath1106.05006OpenAlexW2095814210MaRDI QIDQ858023
James A. Sellers, Michael D. Hirschhorn
Publication date: 5 January 2007
Published in: Annals of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00026-006-0293-7
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (22)
Congruences modulo 8 for \((2,k)\)-regular overpartitions for odd \(k > 1\) ⋮ Congruences for restricted plane overpartitions modulo 4 and 8 ⋮ On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts ⋮ Jacobi's four and eight squares theorems and partitions into distinct parts ⋮ Arithmetic properties of a partition pair function ⋮ Partition identities arising from Ramanujan's formulas for multipliers ⋮ Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series ⋮ Rademacher-type formulas for restricted partition and overpartition functions ⋮ Unnamed Item ⋮ Ramanujan type identities and congruences for partition pairs ⋮ Combinatorial interpretations of a recent convolution for the number of divisors of a positive integer ⋮ On the number of overpartitions into odd parts ⋮ Unnamed Item ⋮ A new look on the generating function for the number of divisors ⋮ A Rademacher type formula for partitions and overpartitions ⋮ New proofs of identities of Lebesgue and Göllnitz via tilings ⋮ A truncated theta identity of Gauss and overpartitions into odd parts ⋮ On a nonlinear relation for computing the overpartition function ⋮ Unnamed Item ⋮ Congruences related to an eighth order mock theta function of Gordon and McIntosh ⋮ Unnamed Item ⋮ Congruences for \(\ell\)-regular overpartitions into odd parts
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