Bilateral series and Ramanujan radial limits of mock (false) theta functions

DOI10.1142/S0129167X1950023XzbMath1443.11056OpenAlexW2943551300MaRDI QIDQ5384391

Bin Chen

Publication date: 24 June 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x1950023x

zbMATH Keywords

mock theta functionsbilateral seriesfalse theta functionsRamanujan radial limits

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Modular and automorphic functions (11F03) Discontinuous groups and automorphic forms (11F99)

Cites Work

• On the dual nature of partial theta functions and Appell-Lerch sums
• Dyson's ranks and Maass forms
• On two geometric theta lifts
• Note on the problem of Ramanujan's radial limits
• Mock (false) theta functions as quantum invariants
• The \(f(q)\) mock theta function conjecture and partition ranks
• MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• The Fifth and Seventh Order Mock Theta Functions
• An Introduction to Ramanujan's "lost" Notebook
• Ramanujan’s mock theta functions
• On three theorems of Folsom, Ono and Rhoades
• Ramanujan's Lost Notebook
• Bilateral series and Ramanujan’s radial limits
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