Abstract
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.
Highlights
Let q ≥ be an integer and χ be a Dirichlet character modulo q
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
Han Di [26] studied the asymptotic properties of the hybrid mean value involving the two-term exponential sums and polynomial character sums, and proved the following asymptotic formula p− p−
Summary
Let q ≥ be an integer and χ be a Dirichlet character modulo q. 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. Zhang Wenpeng and Han Di [24] researched the sixth power mean of the two-term exponential sums, and obtained an exact computational formula.
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