Ramanujan's Radial Limits and Mixed Mock Modular Bilateralq-Hypergeometric Series

DOI10.1017/S0013091515000425zbMath1407.11037arXiv1309.4162MaRDI QIDQ2976227

Eric T. Mortenson

Publication date: 28 April 2017

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

Full work available at URL: https://arxiv.org/abs/1309.4162

zbMATH Keywords

mock theta functionsradial limitsAppell-Lerch sumsbilateral \(q\)-series

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Other hypergeometric functions and integrals in several variables (33C70) Theta series; Weil representation; theta correspondences (11F27)

Related Items (10)

Mock theta functions and Appell-Lerch sums ⋮ Radial limits of mock theta functions ⋮ Three-parameter mock theta functions ⋮ Ramanujan-type partial theta identities and conjugate Bailey pairs. II: Multisums ⋮ Generalizations of mock theta functions and radial limits ⋮ On the dual nature of partial theta functions and Appell-Lerch sums ⋮ 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 ⋮ Third-order mock theta functions ⋮ Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity

Cites Work

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• On the dual nature of partial theta functions and Appell-Lerch sums
• Ramanujan-type partial theta identities and conjugate Bailey pairs
• A Survey of Classical Mock Theta Functions
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• Ramanujan’s mock theta functions
• On Ramanujan’s definition of mock theta function
• Ramanujan's Lost Notebook

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