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On the Mean Value of High-Powers of a Special Character Sum Modulo a Prime
School of Mathematics, Northwest University, Xi’an, China
* Corresponding Author: Xiaodan Yuan. 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
Received 29 May 2022; Accepted 07 September 2022; Issue published 05 January 2023
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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.Keywords
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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
Copyright © 2023 The Author(s). Published by Tech Science Press.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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