The fourth power mean of the generalized quadratic Gauss sums associated with some Dirichlet characters

In this paper, the fourth power mean values of the generalized quadratic Gauss sums associated with the $ 3 $-order and $ 4 $-order Dirichlet characters are given by using the properties of the Dirichlet characters and Gauss sums.

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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 7; pp. 17774 - 17783
Main Authors Wang, Xuan, Wang, Li, Chen, Guohui
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
calculating formula
generalized quadratic gauss sums
k $-order dirichlet character
the fourth power mean
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Summary:In this paper, the fourth power mean values of the generalized quadratic Gauss sums associated with the $ 3 $-order and $ 4 $-order Dirichlet characters are given by using the properties of the Dirichlet characters and Gauss sums.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024864