L’/L(1,χ)与短区间上特征和函数的均值问题  

On the Mean Value of L’/L(1,χ) with the Weight of Character Sums in a Short Interval

作　　者：田清[1] TIAN Qing(College of Science,Xi’an University of Architecture and Technology,Xi’an,Shaanxi,710055,P.R.China)

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《数学进展》2020年第2期172-178,共7页Advances in Mathematics（China）

基　　金：Supported by the Natural Science Basic Research Plan in Shaanxi Province of China(No.2018JM1035);the Young Talent fund of University Association for Science and Technology in Shaanxi,China(No.20170607)。

摘　　要：设χ是模为q> 2的Dirichlet特征,L(s,χ)为Dirichlet L-函数,本文利用特征和估计及解析的方法研究了L’/L(1,χ)与短区间上特征和函数的均值问题,给出了一个有趣的均值公式.Let χ be a Dirichlet character modulo q> 2,and L(s,χ) denote the Dirichlet Lfunction corresponding to χ.The main purpose of this paper is using the estimate for character sums and the analytic method to study the mean value properties of L’/L(1,χ) with the weight of character sums in a short interval,and to give an interesting mean value formula for it.

关 键 词：DIRICHLET特征 DIRICHLET L-函数 混合均值 短区间上特征和 渐近公式 

分 类 号：O156.4[理学—数学]