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

Xiaodan Yuan^*, Wenpeng Zhang

CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.1, pp. 943-953, 2023, DOI: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. More >

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