New Identities Dealing with Gauss Sums

被引：7

作者：

Zhang, Wenpeng ^{[1
]}

Samad, Abdul ^{[1
]}

Chen, Zhuoyu ^{[1
]}

机构：

[1] Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 09期

关键词：

Gauss sums; elementary method; identity; calculating formula; DIRICHLET CHARACTERS;

D O I：

10.3390/sym12091416

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：

In this article, we used the elementary methods and the properties of the classical Gauss sums to study the problem of calculating some Gauss sums. In particular, we obtain some interesting calculating formulas for the Gauss sums corresponding to the eight-order and twelve-order characters modulo p, where p be an odd prime with p=8k+1 or p=12k+1.

引用

页数：7

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