Some identities associated with mock theta functions \(\omega (q)\) and \(\nu (q)\)

DOI10.1007/s11139-018-0028-5zbMath1419.05022arXiv1709.03213OpenAlexW2909089307MaRDI QIDQ2422056

George E. Andrews, Ae Ja Yee

Publication date: 18 June 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03213

zbMATH Keywords

partitionsEuler's pentagonal number theoremmock theta functions \(\omega (q)\) and \(\nu (q)\)

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (6)

Generalizations of the Andrews-Yee identities associated with the mock theta functions \(\omega (q)\) and \(\nu (q)\) ⋮ A symmetric generalization of an identity of Andrews and Yee ⋮ Combinatorics of some fifth and sixth order mock theta functions ⋮ Combinatorial proofs for identities related to generalizations of the mock theta functions \(\omega (q)\) and \(\nu (q)\) ⋮ On the Andrews-Yee identities associated with mock theta functions ⋮ Combinatorial proof of an identity of Andrews and Yee

Cites Work

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• The basic bilateral hypergeometric series and the mock theta functions
• Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\)
• Ramanujan's ``lost notebook. I: Partial Theta-functions
• ON BASIC HYPERGEOMETRIC SERIES, MOCK THETA FUNCTIONS, AND PARTITIONS (I)
• ON BASIC HYPERGEOMETRIC SERIES, MOCK THETA FUNCTIONS, AND PARTITIONS (II)

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