On the generalized exponential sums and their fourth power mean

Abstract

The main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a result of the fourth power mean of Gauss sums is improved.

Keywords

• two-term exponential sums
• gauss sums
• fourth power mean
• analytic method
• calculating formula
• 11l03
• 11l05