Overpartitions related to the mock theta function $\omega (q)$

DOI10.4064/aa161225-7-11zbMath1422.11210arXiv1603.04352OpenAlexW2962683514MaRDI QIDQ3130459

Ae Ja Yee, Daniel Schultz, Atul Dixit, George E. Andrews

Publication date: 22 January 2018

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04352

zbMATH Keywords

partitionsmock theta functionsbasic hypergeometric seriesoverpartitionspartition congruencessmallest parts functionslittle q-Jacobi polynomials

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (11)

Congruences for partition functions related to mock theta functions ⋮ Congruences for \(\overline{\operatorname{spt}}_\omega(n)\) modulo powers of primes ⋮ Some Hecke-Rogers type identities ⋮ On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's \(\omega\)(\(q\)) ⋮ Efficient computation of the overpartition function and applications ⋮ A conjecture of Baruah and Begum on the smallest parts function of restricted overpartitions ⋮ Congruences for some partitions related to mock theta functions ⋮ New congruences for partitions related to mock theta functions ⋮ Monotonicity properties for ranks of overpartitions ⋮ A simple proof of a congruence for a series involving the little \(q\)-Jacobi polynomials ⋮ Generating functions and congruences for some partition functions related to mock theta functions

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