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On identities involving the sixth order mock theta functions

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Publication:3574829
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DOI10.1090/S0002-9939-10-10296-2zbMath1230.11072arXiv0911.2680MaRDI QIDQ3574829

Jeremy Lovejoy

Publication date: 2 July 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2680


zbMATH Keywords

\(q\)-seriesRogers-Ramanujan type identityMock theta functionHeine-type transformation


Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Discontinuous groups and automorphic forms (11F99) Partition identities; identities of Rogers-Ramanujan type (11P84)


Related Items (4)

Some new mock theta functions ⋮ Analysis of linear parameter-varying systems using a non-smooth dissipative systems framework ⋮ Three-parameter mock theta functions ⋮ Generalizations of mock theta functions and Appell-Lerch sums




Cites Work

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  • Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
  • Sixth order mock theta functions
  • Some Cubic Modular Identities of Ramanujan
  • Ramanujan's Lost Notebook
  • ON BASIC HYPERGEOMETRIC SERIES, MOCK THETA FUNCTIONS, AND PARTITIONS (I)




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