Real quadratic double sums

DOI10.1016/j.indag.2015.06.002zbMath1320.33026arXiv1502.01109OpenAlexW1480803811MaRDI QIDQ2354783

Jeremy Lovejoy, Robert Osburn

Publication date: 24 July 2015

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01109

zbMATH Keywords

mock theta functionsnumber of ideals\(q\)-hypergeometric double sums

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (4)

Small values of coefficients of a half Lerch sum ⋮ MOCK THETA DOUBLE SUMS ⋮ On some double-sum false theta series ⋮ Some further Hecke-type identities

Cites Work

• Partitions and indefinite quadratic forms.
• q-identities for Maass waveforms
• Overpartitions and real quadratic fields
• Characters and \(q\)-series in \(\mathbb Q(\sqrt 2)\)
• MOCK MAASS THETA FUNCTIONS
• MOCK THETA DOUBLE SUMS
• Multiplicative $q$-hypergeometric series arising from real quadratic fields
• On norms of integers in a full module of an algebraic number field and the distribution of values of binary integral quadratic forms
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