Mean Value of the General Dedekind Sums over Interval [1, q/p)

被引：0

作者：

Liu, Lei ^{[1
]}

Xu, Zhefeng ^{[1
]}

机构：

[1] Northwest Univ Xian, Sch Math, Xian 710069, Peoples R China

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 12期

关键词：

general Dedekind sum; character sums; L-functions; mean value;

D O I：

10.3390/sym12122079

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Let q>2 be a prime, p be a given prime with p<q. The main purpose of this paper is using transforms, the hybrid mean value of Dirichlet L-functions with character sums and the related properties of character sums to study the mean value of the general Dedekind sums over interval [1,qp), and give some interesting asymptotic formulae.

引用

页码：1 / 15

页数：15

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