The fourth power mean value of one kind two-term exponential sums

Abstract

In this paper, based on the analytic method and the properties of Gauss sums, we study the computational problems of the fourth power mean value of one kind two-term exponential sums through the classification and estimation of Dirichlet characters and give it a calculation formula or asymptotic formula in different conditions.

Keywords

• the two-term exponential sums
• the fourth power mean
• gauss sums