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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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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Abstract 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.
AbstractList 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.
Author Wang, Xuan
Chen, Guohui
Wang, Li
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  surname: Wang
  fullname: Wang, Li
  organization: Research Center for Number Theory and Its Applications, Northwest University, Xi'an 710127, China
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  surname: Chen
  fullname: Chen, Guohui
  organization: College of Mathematics and Statistics, Hainan Normal University, Hainan 571100, China
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Cites_doi 10.1515/math-2017-0104
10.1007/978-1-4757-5579-4
10.1016/j.ffa.2022.102131
10.1186/1029-242X-2013-504
10.1090/S0273-0979-1981-14930-2
10.3934/math.2021654
10.7169/facm/1995
10.1007/s10114-022-0541-8
10.4310/AJM.2021.v25.n3.a5
10.1515/math-2019-0034
10.1007/978-1-4757-1779-2
10.3390/math7100907
10.1006/jnth.2001.2715
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SubjectTerms calculating formula
generalized quadratic gauss sums
k $-order dirichlet character
the fourth power mean
Title The fourth power mean of the generalized quadratic Gauss sums associated with some Dirichlet characters
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Volume 9
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