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.
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页码：1 / 15
页数：15
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