The Generalized Quadratic Gauss Sum and Its Fourth Power Mean

被引：2
|
作者：
Shen, Shimeng [1 ]
Zhang, Wenpeng [1 ]
机构：
[1] Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China
来源：
MATHEMATICS | 2019年 / 7卷 / 03期
关键词：
the generalized quadratic Gauss sums; the fourth power mean; analytic method; computational formula; DIRICHLET CHARACTERS; NUMBER;
D O I：
10.3390/math7030258
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two interesting computational formulae for it.
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页数：10
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