Results 11 to 20 of about 884,151 (313)
The hybrid power mean of quartic Gauss sums and Kloosterman sums
Open Mathematics, 2017 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 fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact ...
Xiaoxue Li, Jiayuan Hu
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The hybrid power mean of the quartic Gauss sums and the two-term exponential sums
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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On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums
Journal of Mathematics, 2021 In this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the ...
Shaofan Cao, Tingting Wang
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On the High-Power Mean of the Generalized Gauss Sums and Kloosterman Sums
Mathematics, 2019 The main aim of this paper is to use the properties of the trigonometric sums and character sums, and the number of the solutions of several symmetry congruence equations to research the computational problem of a certain sixth power mean of the ...
Xinyu Liu, Wenpeng Zhang
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A new sum analogous to Gauss sums and its fourth power mean. [PDF]
ScientificWorldJournal, 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 ...
Ru S, Zhang W.
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A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums
AIMS Mathematics, 2022 The main purpose of this paper is to study the calculating problem of one kind hybrid power mean involving the cubic Gauss sums and Kloosterman sums, and using the elementary methods, analytic methods and the properties of the classical Gauss sums to ...
Xiaoxue Li , Wenpeng Zhang
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One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums
Journal of Mathematics, 2021 The main purpose of this article is using the analytic methods and the properties of the classical Gauss sums to study the calculating problem of the hybrid power mean of the two-term exponential sums and quartic Gauss sums and then prove two interesting
Xiaoxue Li, Li Chen
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Proceedings of the American Mathematical Society, 2005 Let \(p\) be a prime number, \(\theta\) be a nonzero element of the finite field \(\mathbb F_p\) of multiplicative order \(t \geq 1\), and let \(\mathcal Z = \{z_1, z_2, \dots, z_T\}\) be a sequence of elements of \(\mathbb Z / t\mathbb Z\). Given two polynomials \(f(X), g(X) \in \mathbb F_p[X]\), an additive character \(\psi\) of \(\mathbb F_p\), and ...
Cohen, Stephen D. +4 more
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Some new hybrid power mean formulae of trigonometric sums
Advances in Difference Equations, 2020 We apply the analytic method and the properties of the classical Gauss sums to study the computational problem of a certain hybrid power mean of the trigonometric sums and to prove several new mean value formulae for them.
Li Chen, Zhuoyu Chen
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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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