On the mean square value of L-functions with the weight of quadratic Gauss sums

被引：3

作者：

Zhang, Wenpeng ^{[1
]}

Duan, Ran ^{[1
]}

机构：

[1] Northwest Univ Xian, Sch Math, Xian, Shaanxi, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2017年 / 179卷

关键词：

Dirichlet L-function; Generalized quadratic Gauss sums; Hybrid power mean square value; Calculating formula; EXPONENTIAL-SUMS;

D O I：

10.1016/j.jnt.2017.03.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is using the elementary methods, the orthogonality of characters and the properties of the classical Gauss sums to study the computational problem of one kind hybrid power mean square value involving Dirichlet L-functions and the generalized quadratic Gauss sums, and give an explicit formula for it. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：77 / 87

页数：11

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