A general double sum identity, mock theta functions, and Bailey pairs

DOI10.4064/aa200427-9-11zbMath1468.33018arXiv2004.12044OpenAlexW3018062314MaRDI QIDQ4988886

Alexander E. Patkowski

Publication date: 20 May 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12044

zbMATH Keywords

\(q\)-seriesmock theta functionsBailey pairs

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

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• Families of multisums as mock theta functions
• On some new Bailey pairs and new expansions for some mock theta functions
• The Bailey chain and mock theta functions
• \(q\)-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions
• Infinite-dimensional Lie algebras, theta functions and modular forms
• On indefinite modular forms of weight one
• Partitions and indefinite quadratic forms.
• q-identities for Maass waveforms
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Tenth order mock theta functions in Ramanujan's lost notebook
• More on some mock theta double sums
• 50 Years of Bailey's lemma
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• MOCK THETA DOUBLE SUMS
• The Fifth and Seventh Order Mock Theta Functions
• Some Eighth Order Mock Theta Functions
• Ramanujan's Lost Notebook
• Change of base in Bailey pairs

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