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

DOI10.1016/j.jnt.2007.11.008zbMath1181.11054OpenAlexW1964782224MaRDI QIDQ1024422

Wen Peng Zhang

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.11.008

zbMATH Keywords

\(L\)-functionsDirichlet characterHybrid mean value

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (6)

Modular hyperbolas ⋮ A priori error estimates for some discontinuous Galerkin immersed finite element methods ⋮ A hybrid mean value involving Gauss sums and character sums ⋮ A note on the Lehmer problem over short intervals ⋮ ON SOME WEIGHTED AVERAGE VALUES OF L-FUNCTIONS ⋮ On the mean value of generalized Dirichlet \(L\)-functions with weight of the character sums

Cites Work

• Unnamed Item
• On the \(2k\)-th power mean of Dirichlet \(L\)-functions with the weight of general Kloosterman sums
• On the \(2k\)-th power mean of inversion of \(L\)-functions with the weight of the Gauss sum
• On the 2kth power mean of the character sums over short intervals

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