Open AccessThe hybrid power mean of some special character sums of polynomials and two-term exponential sums modulo $ p $
Author(s) -
Wenpeng Zhang,
Jiafan Zhang
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2021638
Subject(s) - modulo , mathematics , gauss sum , character (mathematics) , term (time) , exponential function , asymptotic formula , prime (order theory) , exponential sum , pure mathematics , discrete mathematics , combinatorics , mathematical analysis , physics , geometry , quantum mechanics
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.