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On the Fourth Power Mean of the Two-Term Exponential Sums [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.
Han Zhang, Wenpeng Zhang
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The generalized Kloosterman's sums and its fourth power mean
AIMS Mathematics, 2023 The main purpose of this article is to study the calculating problem of one kind fourth power mean of the generalized Kloosterman's sums and provide an accurate calculating formula for it utilizing analytical methods and character sums' properties ...
Junfeng Cui , Li Wang
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The Generalized Quadratic Gauss Sum and Its Fourth Power Mean [PDF]
Mathematics, 2019 In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two ...
Shimeng Shen, Wenpeng Zhang
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On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums [PDF]
Journal of Mathematics, 2021 The main purpose of this article is using the elementary methods and the properties of the quadratic residue modulo an odd prime p to study the calculating problem of the fourth power mean of one kind two-term exponential sums and give an interesting ...
Jingzhe Wang
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The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums [PDF]
Journal of Mathematics, 2021 In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for it.
Zhang Jin, Zhang Jiafan
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The fourth power mean value of one kind two-term exponential sums
AIMS Mathematics, 2022 In this paper, based on the analytic method and the properties of Gauss sums, we study the computational problems of the fourth power mean value of one kind two-term exponential sums through the classification and estimation of Dirichlet characters and ...
Jinmin Yu, Renjie Yuan , Tingting Wang
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On the Fourth Hybrid Power Mean Involving the Generalized Gauss Sums
Journal of Mathematics, 2023 In this paper, we use the elementary and analytic methods to study the fourth hybrid power mean involving the generalized Gauss sums and prove several interesting identities for them.
Xiaoge Liu, Yuanyuan Meng
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A New Sum Analogous to Gauss Sums and Its Fourth Power Mean [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind of new sum analogous to Gauss sums and give an interesting fourth power mean and a sharp upper bound estimate ...
Shaofeng Ru, Wenpeng Zhang
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On the fourth power mean of one special two-term exponential sums
AIMS Mathematics, 2023 The main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculating ...
Wenpeng Zhang, Yuanyuan Meng
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On the general Gauss sums and their fourth power mean [PDF]
, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huaning, Liu, Wenpeng, Zhang
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