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

Abstract

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.

Keywords

• the generalized gauss sums
• $ k $-th power mean
• elementary method
• recurrence sequence
• calculating formula