Sixth order mock theta functions

DOI10.1016/j.aim.2007.06.004zbMath1122.33010OpenAlexW2003592046WikidataQ64013553 ScholiaQ64013553MaRDI QIDQ2456980

Bruce C. Berndt, Song Heng Chan

Publication date: 29 October 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2007.06.004

zbMATH Keywords

\(q\)-seriesmock theta functionstheta functionsBailey pairsRamanujan's lost notebookconstant term method

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

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Cites Work

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• Dyson's ranks and Maass forms
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• The \(f(q)\) mock theta function conjecture and partition ranks
• Identities for Ramanujan's Sixth-Order Mock Theta Functions
• Lifting cusp forms to Maass forms with an application to partitions
• ON BASIC HYPERGEOMETRIC SERIES, MOCK THETA FUNCTIONS, AND PARTITIONS (I)
• Generalized Lambert series identities