Asymptotic expansions for a class of zeta-functions

DOI10.1007/s11139-010-9250-5zbMath1248.11062OpenAlexW2043601132MaRDI QIDQ539127

Takako Kuzumaki

Publication date: 27 May 2011

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-010-9250-5

zbMATH Keywords

beta transformationG-functionholomorphic Eisenstein seriesLipschitz-Lerch transcendent

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Hurwitz and Lerch zeta functions (11M35)

Related Items

An extension of Maass theory to general Dirichlet series ⋮ Complete asymptotic expansions associated with various zeta-functions

Uses Software

• Mathematica

Cites Work

• Complete asymptotic expansions associated with Epstein zeta-functions
• Power series and asymptotic series associated with the Lerch zeta-function
• Asymptotics via iterated Mellin-Barnes integrals: Application to the generalised Faxén integral
• On the Lerch zeta function
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