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

AIMS Mathematics

Wenpeng Zhang¹  Jiafan Zhang² 

[1] 1. School of Science, Xi'an Technological University, Xi'an, Shaanxi, China;2. School of Mathematics, Northwest University, Xi'an, Shaanxi, China;

关键词: the character sums of polynomials;    two-term exponential sums;    hybrid power mean;    analytic method;    identity;    asymptotic formula;   

DOI  :  10.3934/math.2021638

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown