New proofs of Ramanujan's identities on false theta functions

DOI10.1007/S11139-018-0048-1zbMath1430.33006arXiv1801.07956OpenAlexW2962890255WikidataQ113900586 ScholiaQ113900586MaRDI QIDQ2011355

Liuquan Wang

Publication date: 6 December 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07956

zbMATH Keywords

theta functionsfalse theta functions\({_3}\phi _2\) summation formulas

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (5)

Expansion formulas for multiple basic hypergeometric series over root systems ⋮ Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind ⋮ A bijective proof of a false theta function identity from Ramanujan's lost notebook ⋮ An extension of the Andrews-Warnaar partial theta function identity ⋮ A Bailey type identity with applications related to integer representations

Cites Work

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• Ramanujan's ``lost notebook. I: Partial Theta-functions
• Some Hecke-Rogers type identities
• The Bailey transform and false theta functions
• ON THE q-DERIVATIVE AND q-SERIES EXPANSIONS
• BILATERAL BAILEY LEMMA AND FALSE THETA FUNCTIONS

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