On the classical Gauss sums and their some new identities

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.

Bibliographic Details
Main Authors: Wenpeng Zhang, Xiaodan Yuan
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022325?viewType=HTML