An identity involving certain Hardy sums and Ramanujan's sum

被引：3
|
作者：
Wang, Weiqiong [1 ,2 ]
Han, Di [2 ]
机构：
[1] Changan Univ, Sch Sci, Xian, Shaanxi, Peoples R China
[2] NW Univ Xian, Dept Math, Xian 710069, Shaanxi, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
Gauss sums; Ramanujan's sum; certain Hardy sums; hybrid mean value; computational formula;
D O I：
10.1186/1687-1847-2013-261
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of the Dirichlet L-functions to study one kind of a hybrid mean value problem involving certain Hardy sums and Ramanujan's sum and to give an exact computational formula for it.
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页数：8
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