On the sixth power mean values of a generalized two-term exponential sums

被引：0

作者：

Zhou, Shujie ^{[1
]}

Chen, Li ^{[2
]}

机构：

[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian, Peoples R China

[2] Xian Univ Finance & Econ, Sch Math, Xian, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 11期

基金：

中国国家自然科学基金;

关键词：

the two-term exponential sums; sixth power mean values; elementary method; congruence equation; calculating formula;

D O I：

10.3934/math.20231438

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper examines the evaluations of sixth power mean values of a generalized two-term exponential sums. In the case p equivalent to 3 mod 4, we try to establish two precise formulas by applying the properties of character sums and the number of the solutions of relevant congruence equations modulo an odd prime p.

引用

页码：28105 / 28119

页数：15

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