An application of the Mellin-Barnes type of integral to the mean square of \(L\)-functions

DOI10.1007/BF02465546zbMath0924.11073MaRDI QIDQ1280858

Masanori Katsurada

Publication date: 15 March 1999

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

zbMATH Keywords

asymptotic expansionGauss hypergeometric functionMellin-Barnes integralmean square of Dirichlet \(L\)-functions

Mathematics Subject Classification ID

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

Related Items

On fractional moments of Dirichlet \(L\)-functions ⋮ Crystal Symmetry Viewed as Zeta Symmetry II ⋮ The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions. I. ⋮ Complete asymptotic expansions associated with various zeta-functions ⋮ Complete asymptotic expansions associated with Epstein zeta-functions ⋮ Complete asymptotic expansions associated with Epstein zeta-functions. II

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