Families of multisums as mock theta functions

DOI10.1016/j.aam.2016.04.003zbMath1401.11092OpenAlexW2338624921MaRDI QIDQ288997

Nancy S. S. Gu, Jing Liu

Publication date: 27 May 2016

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2016.04.003

zbMATH Keywords

\(q\)-seriesmock theta functionsBailey pairsAppell-Lerch sumsHecke-type sums

Mathematics Subject Classification ID

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 (9)

New families of mock theta functions and partial fraction decomposition ⋮ Asymptotics for Bailey-type mock theta functions ⋮ Generalizations of mock theta functions and radial limits ⋮ New mock theta functions and formulas for basic hypergeometric series ⋮ Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind ⋮ Two generalizations of Jacobi's triple product identity and their applications ⋮ Unnamed Item ⋮ ON SOME NEW MOCK THETA FUNCTIONS ⋮ A general double sum identity, mock theta functions, and Bailey pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(q\)-hypergeometric double sums as mock theta functions
• The Bailey chain and mock theta functions
• Dyson's ranks and Maass forms
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Bailey pairs and indefinite quadratic forms
• The \(f(q)\) mock theta function conjecture and partition ranks
• 50 Years of Bailey's lemma
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• MOCK THETA DOUBLE SUMS
• An Introduction to Ramanujan's "lost" Notebook
• Some Eighth Order Mock Theta Functions
• Mixed mock modular q-series
• Second Order Mock Theta Functions
• A New Proof of Rogers's Transformations of Infinite Series
• Further Identities of the Rogers-Ramanujan Type
• A proof of the Kac-Wakimoto affine denominator formula for the strange series.

This page was built for publication: Families of multisums as mock theta functions