A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums

AIMS Mathematics

article

Xiaoxue Li¹  Wenpeng Zhang² 

[1] School of Science, Xi'an Aeronautical Institute;School of Mathematics, Northwest University

关键词: the cubic Gauss sums;    Kloosterman sums;    hybrid power mean;    elementary method;    recurrence formula;   

DOI  :  10.3934/math.2022881

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

The main purpose of this paper is to study the calculating problem of one kind hybrid power mean involving the cubic Gauss sums and Kloosterman sums, and using the elementary methods, analytic methods and the properties of the classical Gauss sums to give some interesting calculating formula for them. At the same time, the paper also provides an effective calculating method for the study of the hybrid power mean involving the $ k $-th Gauss sums and Kloosterman sums.

【 授权许可】

CC BY