A Generalization of Lerch?s Formula

DOI10.1007/s10587-004-6442-4zbMath1114.11074OpenAlexW1014672336MaRDI QIDQ3366684

Nobushige Kurokawa, Masato Wakayama

Publication date: 14 February 2006

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30912

zbMATH Keywords

Hurwitz zeta functionLerch's formulazeta regularized product

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) 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 (4)

Generalized Lerch formulas: examples of zeta-regularized products ⋮ RUELLE TYPE L-FUNCTIONS VERSUS DETERMINANTS OF LAPLACIANS FOR TORSION FREE ABELIAN GROUPS ⋮ The zeta-regularized product of odious numbers ⋮ Generalized zeta regularizations, quantum class number formulas, and Appell's \(O\)-functions

Cites Work

• Unnamed Item
• Local \(L\)-factors of motives and regularized determinants
• Higher Selberg zeta functions
• Gamma factors and Plancherel measures
• Generalized zeta regularizations, quantum class number formulas, and Appell's \(O\)-functions
• Zeta functions and Green's functions for linear partial differential operators of elliptic type with constant coefficients

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