The Mean Values of Character Sums and Their Applications

The Mean Values of Character Sums and Their Applications

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 t...

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Veröffentlicht in:Mathematics (Basel) 2021-02, Vol.9 (4), p.318
Hauptverfasser: Zhang, Jiafan, Meng, Yuanyuan
Format: Artikel
Sprache:eng
Schlagworte:
analytic methods
calculation formula
character sums of polynomials
classical Gauss sums
Conflicts of interest
Mathematical analysis
Mathematics
mean value
Polynomials
Sums
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9040318