First moment of central values of some primitive Dirichlet \(L\)-functions with fixed order characters

DOI10.1016/J.JNT.2024.02.007MaRDI QIDQ6495504

Peng Gao, Liangyi Zhao

Publication date: 30 April 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Gauss sumscentral valuesDirichlet \(L\)-functionsmoments of \(L\)-functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Gauss and Kloosterman sums; generalizations (11L05) Estimates on character sums (11L40)

Cites Work

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• Mean values with cubic characters
• Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• Moments of central values of quartic Dirichlet \(L\)-functions
• Moments of quadratic Hecke \(L\)-functions of imaginary quadratic number fields
• The first moment of quadratic Dirichlet L-functions
• The Distribution of General Gauss Sums and Similar Arithmetic Functions at Prime Arguments
• On the Mean Value of L(1/2, χ ) FW Real Characters
• Multiple Dirichlet Series and Moments of Zeta and L-Functions
• Nonvanishing for cubic L-functions

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