The Mean Values of Character Sums and Their Applications

Jiafan Zhang and Yuanyuan Meng
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Jiafan Zhang: School of Mathematics, Northwest University, Xi’an 710127, China
Yuanyuan Meng: School of Mathematics, Northwest University, Xi’an 710127, China

Mathematics, 2021, vol. 9, issue 4, 1-7

Abstract: In this paper, we use the elementary methods and properties of classical Gauss sums to study the calculation problems of some mean values of character sums of special polynomials, and obtained several interesting calculation formulae for them. As an application, we give a criterion for determining that 2 is the cubic residue for any odd prime p .

Keywords: character sums of polynomials; mean value; classical Gauss sums; analytic methods; calculation formula (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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