Bilateral series and Ramanujan’s radial limits

DOI10.1090/S0002-9939-2014-12249-0zbMath1316.11035arXiv2202.12141OpenAlexW1968890236MaRDI QIDQ5496292

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Publication date: 30 January 2015

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

Full work available at URL: https://arxiv.org/abs/2202.12141

zbMATH Keywords

mock theta functionsmodular formsradial limitsbilateral seriesmock theta identities

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (11)

Mock theta functions and Appell-Lerch sums ⋮ Bilateral series in terms of mixed mock modular forms ⋮ Radial limits of mock theta functions ⋮ Radial limits of the universal mock theta function 𝑔₃ ⋮ Congruences for Taylor expansions of quantum modular forms ⋮ Generalizations of mock theta functions and radial limits ⋮ Some identities of certain basic hypergeometric series and their applications to mock theta functions ⋮ On the dual nature theory of bilateral series associated to mock theta functions ⋮ Half-integral weight Eichler integrals and quantum modular forms ⋮ Bilateral series and Ramanujan radial limits of mock (false) theta functions ⋮ On the vanishing of some mock theta functions at odd roots of unity

Cites Work

• A proof of the mock theta conjectures
• Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
• Ramanujan’s mock theta functions
• The Mock Theta Functions (2)
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