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An asymptotic formula for the \(2k\)-th power mean value of \(|(L^{\prime}/L)(1+it_0, \chi)|\)

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Publication:821581
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DOI10.2969/jmsj/79987998zbMath1484.11175arXiv1803.00495OpenAlexW3154744240MaRDI QIDQ821581

Sumaia Saad Eddin, Kohji Matsumoto

Publication date: 21 September 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00495

zbMATH Keywords

Dirichlet \(L\)-functionmean values


Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Analytic computations (11Y35)




Cites Work

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  • An exact formula for an average of L-series
  • A new mean value formula of Dirichlet's \(L\)-functions
  • On ``\(M\)-functions closely related to the distribution of \(L'/L\)-values
  • ON CERTAIN MEAN VALUES AND THE VALUE-DISTRIBUTION OF LOGARITHMS OF DIRICHLET L-FUNCTIONS
  • On the Value-Distribution of Logarithmic Derivatives of Dirichlet L-Functions
  • On the logarithmic derivatives of Dirichlet L-functions at s=1
  • The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields
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