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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 the 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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APA Style
Yuan, X., Zhang, W. (2023). On the mean value of high-powers of a special character sum modulo a prime. Computer Modeling in Engineering & Sciences, 136(1), 943-953. https://doi.org/10.32604/cmes.2023.024363
Vancouver Style
Yuan X, Zhang W. On the mean value of high-powers of a special character sum modulo a prime. Comput Model Eng Sci. 2023;136(1):943-953 https://doi.org/10.32604/cmes.2023.024363
IEEE Style
X. Yuan and W. Zhang, "On the Mean Value of High-Powers of a Special Character Sum Modulo a Prime," Comput. Model. Eng. Sci., vol. 136, no. 1, pp. 943-953. 2023. https://doi.org/10.32604/cmes.2023.024363



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