On the mean value of generalized Dirichlet \(L\)-functions with weight of the character sums

DOI10.1007/s12044-021-00635-6zbMath1475.11147OpenAlexW3208412929MaRDI QIDQ2052879

Yu-Long Zhang, Yana Niu, Rong Ma, Haodong Wang

Publication date: 29 November 2021

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-021-00635-6

zbMATH Keywords

character sumsasymptotic formulageneralized Dirichlet \(L\)-functionsinteger inverse

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20)

Cites Work

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• On the mean value of \(L\)-functions with the weight of character sums
• On the \(2m\)-th power mean of Dirichlet \(L\)-functions with the weight of trigonometric sums
• An asymptotic series for the mean value of Dirichlet \(L\)-functions
• On the \(2k\)-th power mean of Dirichlet \(L\)-functions with the weight of general Kloosterman sums
• Some notes on identities for Dirichlet \(L\)-functions
• On the mean value of the generalized Dirichlet L-functions
• A note on Dirichlet's L-functions
• On asymptotic properties of the generalized Dirichlet L-functions
• A note on the Dirichlet characters of polynomials
• On the Hybrid Mean Value Involving Dedekind Sums and Kloosterman Sums
• Identities Involving the Coefficients of a Class of Dirichlet Series. III
• Generalised Dirichlet series and Hecke's functional equation
• Identities Involving the Coefficients of a Class of Dirichlet Series.

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