The hybrid power mean of some special character sums of polynomials and two-term exponential sums modulo p

Abstract

We consider the calculation problem of one kind hybrid power mean involving the character sums of polynomials and two-term exponential sums modulo p, an odd prime, and use the analytic method and the properties of classical Gauss sums to give some identities and asymptotic formulas for them.

Keywords

• the character sums of polynomials
• two-term exponential sums
• hybrid power mean
• analytic method
• identity
• asymptotic formula