The sixth power mean of one kind generalized two-term exponential sums and their asymptotic properties

Abstract

The main aim of this article is using the elementary method and the number of the solutions of some congruence equations modulo an odd prime $ p $, to study the calculating problem of the sixth power mean of one kind generalized two-term exponential sums, and give a sharp asymptotic formula for it.

Keywords

• the generalized two-term exponential sums
• sixth power mean
• elementary method
• asymptotic formula