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Discrete mean values of Hurwitz zeta-functions

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Publication:1320540
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DOI10.3792/pjaa.69.164zbMath0798.11034OpenAlexW1997588136MaRDI QIDQ1320540

Kohji Matsumoto, Masanori Katsurada

Publication date: 1 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.69.164


zbMATH Keywords

Hurwitz zeta-functionasymptotic seriesmean-square of Dirichlet \(L\)-functions


Mathematics Subject Classification ID

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


Related Items

Vanishing of the integral of the Hurwitz zeta Function ⋮ On the Lerch zeta-function ⋮ Discrete moments of additive twists. I: The mean-square ⋮ On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function ⋮ Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions



Cites Work

  • A note on the mean value of the zeta and L-functions. I
  • Asymptotic expansions of the mean values of Dirichlet \(L\)-functions
  • On the mean square value of the Hurwitz zeta-function
  • On the DirichletL-functions
  • On the Hurwitz zeta-function
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