On the 2k-th Power Mean of Inversion of L-functions with the Weight of the Gauss Sum

Authors
Yi, Yuan Zhang, Wen Peng
Citation
Yi, Yuan et Zhang, Wen Peng, On the 2k-th Power Mean of Inversion of L-functions with the Weight of the Gauss Sum, Acta mathematica Sinica. English series (Print) , 20(1), 2004, pp. 175-180
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
20
Issue
1
Year of publication
2004
Pages
175 - 180
Database
ACNP
SICI code
Abstract
The main purpose of this paper is to use the estimate for character sums and the method of trigonometric sums to study the 2k-th power mean of the inversion of Dirichlet L-functions with the weight of the Gauss sums, and give a sharper asymptotic formula.