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On the Mean Value of High-Powers of a Special Character Sum Modulo a Prime

Xiaodan Yuan*, Wenpeng Zhang

School of Mathematics, Northwest University, Xi’an, China

* Corresponding Author: Xiaodan Yuan. Email: email

(This article belongs to this Special Issue: Application of Computer Tools in the Study of Mathematical Problems)

Computer Modeling in Engineering & Sciences 2023, 136(1), 943-953. https://doi.org/10.32604/cmes.2023.024363

Abstract

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.

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Yuan, X., Zhang, W. (2023). On the Mean Value of High-Powers of a Special Character Sum Modulo a Prime. CMES-Computer Modeling in Engineering & Sciences, 136(1), 943–953.



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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