文献类型：期刊文献

英文题名：A remark for Gauss sums of order 3 and some applications for cubic congruence equations

作者：Ge, Wenxu[1];Li, Weiping[2];Wang, Tianze[1]

第一作者：Ge, Wenxu

通讯作者：Li, WP[1]

机构：[1]North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China;[2]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China

第一机构：North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2022

卷号：7

期号：6

起止页码：10671-10680

外文期刊名：AIMS MATHEMATICS

收录：;Scopus(收录号：2-s2.0-85128114720);WOS:【SCI-EXPANDED(收录号:WOS:000782283500003)】；

基金：The authors are partially supported by the National Natural Science Foundation of China (Grant No. 11871193, 12071132) and the Natural Science Foundation of Henan Province (No. 222300420493, 202300410031) .

语种：英文

外文关键词：Gauss sum; exponential sum; diagonal cubic form; congruence equations; prime

摘要：In this paper, we give some relations between Gauss sums of order 3. As application, we give the number of solutions of some cubic diagonal equations. These generalize the earlier results obtained by Hong-Zhu and solve the sign problem raised by Zhang-Zhang.