Third-order mock theta functions

DOI10.1142/S1793042120500050zbMath1457.11021OpenAlexW2955761294WikidataQ127520962 ScholiaQ127520962MaRDI QIDQ5213982

Zhizheng Zhang, Qiuxia Hu, Hanfei Song

Publication date: 6 February 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042120500050

zbMATH Keywords

mock theta functionAppell-Lerch sumspartial theta functionbilateral \(q\)-series

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27)

Related Items (1)

Some new representations of Hikami’s second-order mock theta function D5(q)

Cites Work

• On the dual nature of partial theta functions and Appell-Lerch sums
• On the modularity of the unified WRT invariants of certain Seifert manifolds
• The basic bilateral hypergeometric series and the mock theta functions
• \(q\)-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions
• Mock theta functions and Appell-Lerch sums
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Modular transformations of Ramanujan's fifth and seventh order mock theta functions
• Mock theta function identities deriving from bilateral basic hypergeometric series
• On three third order mock theta functions and Hecke-type double sums
• A Survey of Classical Mock Theta Functions
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• Ramanujan's Radial Limits and Mixed Mock Modular Bilateralq-Hypergeometric Series
• On the dual nature theory of bilateral series associated to mock theta functions
• On three theorems of Folsom, Ono and Rhoades
• Ramanujan's Lost Notebook
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