On the K-th power mean of one kind generalized cubic Gauss sums

The main purpose of this paper is using the elementary methods and properties of the recurrence sequence to study the calculating problem of the $ k $-th power mean of one kind generalized cubic Gauss sums, and give an exact calculating formula for it.

Bibliographic Details
Main Authors: Xiaoge Liu, Yuanyuan Meng
Format: Article
Language:English
Published: AIMS Press 2023-07-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231093?viewType=HTML