An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions

zbMath0891.11042MaRDI QIDQ1363142

Masanori Katsurada

Publication date: 14 August 1997

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/40407

zbMATH Keywords

asymptotic expansionRiemann zeta-functionHurwitz zeta-functionhypergeometric functionLerch zeta-functionmean squareMellin-Barnes type integral formulae

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Classical hypergeometric functions, ({}_2F_1) (33C05) Hurwitz and Lerch zeta functions (11M35)

Related Items

On the Lerch zeta-function ⋮ The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions. I. ⋮ Complete asymptotic expansions associated with various zeta-functions ⋮ Unnamed Item ⋮ Complete asymptotic expansions associated with Epstein zeta-functions ⋮ Complete asymptotic expansions associated with Epstein zeta-functions. II ⋮ Structural elucidation of the mean square of the Hurwitz zeta-function ⋮ An application of the Mellin-Barnes type of integral to the mean square of \(L\)-functions ⋮ Joint value-distribution theorems for the Lerch zeta-functions

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