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.
Citation: Xuan Wang, Li Wang, Guohui Chen. The fourth power mean of the generalized quadratic Gauss sums associated with some Dirichlet characters[J]. AIMS Mathematics, 2024, 9(7): 17774-17783. doi: 10.3934/math.2024864
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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Xuan Wang, Li Wang, Guohui Chen. The fourth power mean of the generalized quadratic Gauss sums associated with some Dirichlet characters[J]. AIMS Mathematics, 2024, 9(7): 17774-17783. doi: 10.3934/math.2024864
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