On the two-term exponential sums and character sums of polynomials

Abstract

The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo p, an odd prime, and acquire several accurate asymptotic formulas for them.

Keywords

• two-term exponential sums
• character sums of polynomials
• hybrid power mean
• analytic method
• asymptotic formula
• 11l03
• 11l40