Characters and \(q\)-series in \(\mathbb Q(\sqrt 2)\)

DOI10.1016/j.jnt.2004.03.002zbMath1056.11056OpenAlexW2049692218MaRDI QIDQ1876242

Sarah Zubairy, Daniel Corson, David Favero, Kate Liesinger

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.03.002

Mathematics Subject Classification ID

Quadratic extensions (11R11) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (13)

Overpartition pairs ⋮ Generalizations of Ramanujan's reciprocity theorem and their applications ⋮ On a relation between certain $q$-hypergeometric series and Maass waveforms ⋮ Small values of coefficients of a half Lerch sum ⋮ Well lacunary series and modular forms of weight one ⋮ Remarks on a Bailey pair with one free parameter ⋮ Multiplicative $q$-hypergeometric series arising from real quadratic fields ⋮ A note on the rank parity function ⋮ Bailey pairs and indefinite quadratic forms ⋮ Hecke-Rogers double-sums and false theta functions ⋮ Asymptotics for the number of row-Fishburn matrices ⋮ Maass wave forms, quantum modular forms and Hecke operators ⋮ Real quadratic double sums

Cites Work

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• Partitions and indefinite quadratic forms.
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• \(q\)-series identities and values of certain \(L\)-functions
• On norms of integers in a full module of an algebraic number field and the distribution of values of binary integral quadratic forms
• Hypergeometric generating functions for values of Dirichlet and other L functions
• Further Identities of the Rogers-Ramanujan Type

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