A hybrid mean value of the inversion of L-functions and general quadratic Gauss sums-Reference-Cited by-同舟云学术

A hybrid mean value of the inversion of L-functions and general quadratic Gauss sums

Published:2002 Issue: Volume:167 Page:1-15
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Zhang Wenpeng,Deng Yuping

Abstract

AbstractThe main purpose of this paper is, using the estimates for character sums and the analytic method, to study the 2k-th power mean of the inversion of Dirichlet L-functions with the weight of general quadratic Gauss sums, and give two interesting asymptotic formulas.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. On Kloostermann’s sum;Estermann,1961

2. On Character Sums and L-Series†

3. On the 2k-th power mean of inversion of Dirichlet L-function;Wenpeng;Chinese J. Contemp. Math.,1993

4. On Kloostermann’s sum;Chowla;Norkse Vid. Selbsk. Fak. Frondheim,1967

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