On the classical Gauss sums and their some new identities

Author:

Zhang Wenpeng, ,Yuan Xiaodan

Abstract

<abstract><p>In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the calculating problems of some Gauss sums involving the character of order $ 12 $ modulo an odd prime $ p $, and obtain several new and interesting identities for them.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A HIGH-ORDER TWO-TERM EXPONENTIAL SUM AND ITS MEAN VALUE PROBLEM;JP Journal of Algebra, Number Theory and Applications;2024-02-28

2. A new two-term exponential sums and its fourth power mean;Rendiconti del Circolo Matematico di Palermo Series 2;2023-04-01

3. On two-term exponential sums and their mean values;Electronic Research Archive;2023

4. On the fourth power mean of one special two-term exponential sums;AIMS Mathematics;2023

5. One Kind New Hybrid Power Mean and Its Computational Formulae;Journal of Mathematics;2022-12-16

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