Results 11 to 20 of about 167,996 (242)
The hybrid power mean of the quartic Gauss sums and the two-term exponential sums [PDF]
Advances in Difference Equations, 2018 In this paper, we use the analytic method and the properties of classical Gauss sums to study the computational problems of one kind hybrid power mean of quartic Gauss sums and two-term exponential sums, and give an interesting fourth-order linear ...
Xiaoxue Li
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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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AIMS Mathematics, 2021 We consider the calculation problem of one kind hybrid power mean involving the character sums of polynomials and two-term exponential sums modulo p, an odd prime, and use the analytic method and the properties of classical Gauss sums to give some ...
Wenpeng Zhang , Jiafan Zhang
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The Hybrid Power Mean of Sixth Gauss Sums and the Two-Term Exponential Sums
Journal of Applied MathematicsThe principal aim of this paper is to analyze the hybrid power mean value of sixth Gauss sums and two-term exponential sums. It will use various analytic methods and elementary methods to develop unique identities for these types of sums.
Xuan Wang
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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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A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums [PDF]
Journal of Mathematics, 2021 The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind hybrid power mean involving the quartic Gauss sums and two-term exponential sums and give an ...
Lan Qi, Xingxing Lv
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Hybrid mean value involving some two-term exponential sums and fourth Gauss sums
Electronic Research ArchiveLet $ q\ge3 $ be a positive integer. For any integers $ m $, $ n $, $ k $, $ h $, the two-term exponential sums $ C(m, n, k, h; q) $ is defined as $ C(m, n, k, h;q) = \sum\limits_{a = 1}^{q}e\left(\frac{ma^k+na^h}{q}\right) $, where $ k > h\ge 2 $.
Zhefeng Xu, Xiaoying Liu, Luyao Chen
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The hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums
AIMS MathematicsThis article applied the properties of character sums, quadratic character, and classical Gauss sums to study the calculations of the hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums.
Xue Han, Tingting Wang
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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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On the sixth power mean values of a generalized two-term exponential sums
AIMS Mathematics, 2023 This paper examines the evaluations of sixth power mean values of a generalized two-term exponential sums. In the case $ p\equiv 3\bmod 4 $, we try to establish two precise formulas by applying the properties of character sums and the number of the ...
Shujie Zhou, Li Chen
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