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The First Power Mean of the Inversion of L-Functions Weighted by Quadratic Gauss Sums
作者姓名:WenPengZHANG
作者单位:ResearchCenterforBasicScience,Xi'anJiaotongUniversity,Xi'an710049,P.R.China
摘    要:The main purpose of this paper is to use estimates for character sums and analytic methods to study the first power mean of the inversion of Dirichlet L-functions with the weight of general quadratic Gauss sums, and three asymptotic formulae are obtained.

关 键 词:常规二次方程  高斯和  L-方程组  渐进公式  整数
收稿时间:26 September 2000

The First Power Mean of the Inversion of <Emphasis Type="Italic">L</Emphasis>–Functions Weighted by Quadratic Gauss Sums
WenPengZHANG.The First Power Mean of the Inversion of L-Functions Weighted by Quadratic Gauss Sums[J].Acta Mathematica Sinica,2004,20(2):283-292.
Authors:Email author" target="_blank">Wen?Peng?ZhangEmail author
Institution:(1) Research Center for Basic Science, Xi’an Jiaotong University, Xi’an, 710049, P. R. China
Abstract:Abstract The main purpose of this paper is to use estimates for character sums and analytic methods to study the first power mean of the inversion of Dirichlet L–functions with the weight of general quadratic Gauss sums, and three asymptotic formulae are obtained. This work is supported by the NSF and the PNSF of P. R. China
Keywords:General quadratic  Gauss sums            L  functions  Asymptotic formula
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