TY  - EJOU
AU  - Yuan, Xiaodan 
AU  - Zhang, Wenpeng 

TI  - On the Mean Value of High-Powers of a Special Character Sum Modulo a Prime
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2023
VL  - 136
IS  - 1
SN  - 1526-1506

AB  - In this paper, we use the elementary methods, the properties of Dirichlet character sums and the classical Gauss sums to study the estimation of the mean value of high-powers for a special character sum modulo a prime, and derive an exact computational formula. It can be conveniently programmed by the “Mathematica” software, by which we can get the exact results easily.
KW  - Quadratic character; the classical gauss sums; the mean value of high-power; computational formula

DO  - 10.32604/cmes.2023.024363