Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions

DOI10.3792/PJAA.69.303zbMath0799.11027OpenAlexW3021943347MaRDI QIDQ1318941

Masanori Katsurada, Kohji Matsumoto

Publication date: 20 November 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.303

zbMATH Keywords

Riemann zeta-functionexplicit asymptotic formulaHurwitz zeta-functionAtkinson's method

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Hurwitz and Lerch zeta functions (11M35)

Related Items (2)

On the Lerch zeta-function ⋮ Integrals of products of Hurwitz zeta functions and the Casimir effect in ϕ^4 field theories

Cites Work

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• A note on the mean value of the zeta and L-functions. I
• Asymptotic expansions of the mean values of Dirichlet \(L\)-functions
• Discrete mean values of Hurwitz zeta-functions
• On the mean square value of the Hurwitz zeta-function
• Asymptotic expansions of the mean values of Dirichlet \(L\)-functions. III
• The mean-value of the Riemann zeta function
• Mean Value Properties of the Hurwitz Zeta-Function.
• The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields

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