Results 11 to 20 of about 133,789 (107)
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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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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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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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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Open Mathematics, 2018 The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some ...
Shimeng Shen
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A note on two-term exponential sum and the reciprocal of the quartic Gauss sums [PDF]
Advances in Difference Equations, 2021 The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of ...
Wenpeng Zhang, Xingxing Lv
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The reckoning of certain quartic and octic Gauss sums [PDF]
Glasgow Mathematical Journal, 1977 In this brief note, we evaluate certain quartic and octic Gauss sums with the use of theorems on fourth and eighth power difference sets. We recall that a subset H of a finite (additive) abelian group G is said to be a difference set of G [5, p. 64] if for some fixed natural number λ, every nonzero element of G can be written as a difference of two ...
Berndt, Bruce C., Chowla, Sarvadaman
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The conductor of a cyclic quartic field using Gauss sums [PDF]
Czechoslovak Mathematical Journal, 1997 This paper presents a new simple proof of the known expression for the conductor of a cyclic quartic extension of the rational field. The proof uses the known properties of quartic Gauss sums.
Spearman, B. K., Williams, K. S.
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On the Quartic Residues and Their New Distribution Properties
Mathematics, 2020 In this paper, we use the analytic methods, the properties of the fourth-order characters, and the estimate for character sums to study the computational problems of one kind of special quartic residues modulo p, and give an exact calculation formula and
Jiafan Zhang
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A new fourth power mean of two-term exponential sums
Open Mathematics, 2019 The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities.
Li Chen, Xiao Wang
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