On odd ranks of odd Durfee symbols

DOI10.1142/S1793042121500482zbMath1480.11134OpenAlexW3114654233WikidataQ114071936 ScholiaQ114071936MaRDI QIDQ5009085

Su-Ping Cui, Nancy S. S. Gu

Publication date: 19 August 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042121500482

zbMATH Keywords

generating functionsmock theta functionsAppell-Lerch sumsodd ranksodd Durfee symbols

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

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• Dyson's ranks and Appell-Lerch sums
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Dyson's ranks and Maass forms
• A proof of the mock theta conjectures
• On ranks and cranks of partitions modulo 4 and 8
• Some observations on Dyson's new symmetries of partitions
• Arithmetic properties of odd ranks and \(k\)-marked odd Durfee symbols
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• Overpartitions
• Dyson’s rank, overpartitions, and universal mock theta functions
• Generalized Lambert series identities
• Some Properties of Partitions

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