Eulerian series as Hecke-type double sums through the transformation formulas

DOI10.1142/S1793042124501173MaRDI QIDQ6628936

Liang-liang Xu, Li-Jun Hao

Publication date: 29 October 2024

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

zbMATH Keywords

mock theta functionsbasic hypergeometric seriesAppell-Lerch sumsHecke-type double sumsEulerian series

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

• Title not available (Why is that?)
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• Families of multisums as mock theta functions
• \(q\)-hypergeometric double sums as mock theta functions
• The Bailey chain and mock theta functions
• Dyson's ranks and Appell-Lerch sums
• New mock theta conjectures. I
• Some new mock theta functions
• Dyson's ranks and Maass forms
• A proof of the mock theta conjectures
• On the seventh order mock theta functions
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Tenth order mock theta functions in Ramanujan's lost notebook
• A \(q\)-series expansion formula and the Askey-Wilson polynomials
• On three third order mock theta functions and Hecke-type double sums
• On second and eighth order mock theta functions
• New families of mock theta functions and partial fraction decomposition
• Representations of mock theta functions
• Sixth order mock theta functions
• The \(f(q)\) mock theta function conjecture and partition ranks
• The final problem: An account of the mock theta functions.
• On string functions and double-sum formulas
• Tenth order mock theta functions in Ramanujan's lost notebook. IV
• On the \(q\)-derivative and \(q\)-series expansions
• A Survey of Classical Mock Theta Functions
• The H and K Family of Mock Theta Functions
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• MOCK THETA DOUBLE SUMS
• Eulerian series as modular forms
• Mock theta functions in terms of q-hypergeometric double sums
• Tenth order mock theta functions in Ramanujan's lost notebook III
• The Fifth and Seventh Order Mock Theta Functions
• Some Eighth Order Mock Theta Functions
• ON SOME NEW MOCK THETA FUNCTIONS
• Eulerian series as Modular forms revisited
• Second Order Mock Theta Functions
• The Mock Theta Functions (2)
• Some Asymptotic Formulae for the Mock Theta Series of Ramanujan
• Tenth order mock theta functions in Ramanujan's lost notebook. II
• New mock theta functions and formulas for basic hypergeometric series

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