New fifth and seventh order mock theta function identities

DOI10.1007/s00026-019-00438-7zbMath1439.11120arXiv1907.04803OpenAlexW2957056659WikidataQ126860373 ScholiaQ126860373MaRDI QIDQ2299103

Frank G. Garvan

Publication date: 20 February 2020

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04803

zbMATH Keywords

mock theta functionsBailey pairsconjugate Bailey pairsHecke-Rogers double sums

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (4)

Hecke-type triple sums associated with mock theta functions ⋮ Fast computation of the \(N\)-th term of a \(q\)-holonomic sequence and applications ⋮ Parity of coefficients of mock theta functions ⋮ Representations of mock theta functions

Cites Work

• On two fifth order mock theta functions
• On the seventh order mock theta functions
• Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
• Ramanujan-type partial theta identities and conjugate Bailey pairs
• The Fifth and Seventh Order Mock Theta Functions
• Partial Theta Functions. I. Beyond the Lost Notebook
• The Mock Theta Functions (2)
• Identities of the Rogers-Ramanujan Type
• A New Proof of Rogers's Transformations of Infinite Series
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