A $q$-series identity and the arithmetic of Hurwitz zeta functions

DOI10.1090/S0002-9939-02-06649-2zbMath1082.11011OpenAlexW1625050183MaRDI QIDQ4780408

Ken Ono, Gwynneth H. Coogan

Publication date: 19 November 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06649-2

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Hurwitz and Lerch zeta functions (11M35)

Related Items (11)

A general \(q\)-expansion formula based on matrix inversions and its applications ⋮ \(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity ⋮ Congruences for Taylor expansions of quantum modular forms ⋮ Analytic continuation and asymptotics of Dirichlet series with partitions ⋮ The meaning of Ramanujan now and for the future ⋮ Series representations in the spirit of Ramanujan ⋮ Hypergeometric generating functions for values of Dirichlet and other L functions ⋮ Hypergeometric generating function of $L$-function, Slater’s identities, and quantum invariant ⋮ MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS ⋮ Extension of Abel's Lemma with \(q\)-series implications ⋮ Special values of the Riemann zeta function capture all real numbers

Cites Work

• Unnamed Item
• \(q\)-series identities and values of certain \(L\)-functions
• Vassiliev invariants and a strange identity related to the Dedekind eta-function

This page was built for publication: A $q$-series identity and the arithmetic of Hurwitz zeta functions