Fourth power mean values of one kind special Kloosterman's sum

Abstract

The main purpose of this article is using the analytic methods and properties of classical Gauss sums to study the calculating problem of fourth power mean values of one kind special Kloosterman's sum, and give a sharp asymptotic formula for it. At the same time, the paper also provides a new and effective method for the study of related power mean value problems.

Keywords

• special kloosterman's sums
• fourth power mean
• analytic method
• asymptotic formula