A Weighted Mean Value Formula of Dirichlet L-Functions

葛丹; 张彩宁

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A Weighted Mean Value Formula of Dirichlet L-Functions

更新时间：2026-09-14

- A Weighted Mean Value Formula of Dirichlet L-Functions
- 关于Dirichlet L-函数的一个加权均值公式
- Issue 1, Pages: 15-17(2005)
- 作者机构：
  
  1. ,山西,太原,030051
  2. 延安大学数学与计算机科学学院
  3. 中北大学应用数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2005
- 稿件说明：
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葛丹, 张彩宁. A Weighted Mean Value Formula of Dirichlet L-Functions[J]. 2005, (1): 15-17.
DOI：

葛丹, 张彩宁. A Weighted Mean Value Formula of Dirichlet L-Functions[J]. 2005, (1): 15-17. DOI：

摘要

　利用Gauss和的定义

三角和估计

特征和估计及其解析方法

研究了DirichletL-函数的二次加权均值

并得到了其均值分布的一个渐近公式.

Abstract

The mean square value of Dirichlet L-functions with the weight of Gauss sum is studied by using the defination of Gauss sum

the estimations for character sum

estimations for trigonometric sum and the analytic methods

and its mean value formulas is obtained.

关键词

Keywords

references

　TomM.Apstol.IntroductiontoAnalylicNumberTheory[M].NewYork:Spring-Verlag,1976.

　EstermannT.OnKloosterman′sSum[J].Mathematica,1961,8:83-86.

　易媛,张文鹏.关于DirichletL-函数的加权均值[J].系统科学与数学,2000,20(3):346-351.YiYuan,ZhangWenpeng.OnthefirstpowermeanofdirichletL-functionswiththeweightofgausssums[J].J.Sys.Sci.&Math.Scis,2000,20(3):346-351.(inChinese)

　高丽,赵贞.DirichletL-函数的二次加权均值[J].西北大学学报(自然科学版),2001(增):31.GaoLi,ZhaoZhen.Onthe2-thweightedmeanvalueformulasforirichletL-functions[J].JournalofNorthwestU-niversity(NaturalScienceEdition),2001(Supp.):31.(inChinese)

　潘承洞,潘承彪.解析数论基础[M].北京:科学出版社,1991.PanChengdong,PanChengbiao.BasisofAnalyticNumberTheory[M].Beijing:SciencePress,1991.(inChinese)

　ApostolTM.ModularFunctionandDirichletSeriesInNumberTheory[M].NewYork:Spring-Verlag,1976.

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