Results 1 to 10 of about 2,694 (67)

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
exaly   +4 more sources

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
exaly   +4 more sources

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
exaly   +3 more sources

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
doaj   +3 more sources

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
doaj   +3 more sources

On the quartic Gauss sums and their recurrence property [PDF]

Advances in Difference Equations, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shimeng Shen, Wenpeng Zhang
exaly   +3 more sources

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
exaly   +3 more sources

On the recursive properties of one kind hybrid power mean involving two-term exponential sums and Gauss sums

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
exaly   +2 more sources

Hybrid Mean Value of General Quartic Gauss Sums and Three-Term Exponential Sums

Indian Journal of Advanced Mathematics
This paper explores the hybrid power mean of three-term exponential sums, incorporating weights derived from general quartic Gauss sums. By employing the theory of Dirichlet characters in conjunction with fundamental properties of classical Gauss sums, we establish several significant results. Furthermore, we determine the corresponding weight function
Dr. Shikha Singh, Prof. Jagmohan Tanti
exaly   +2 more sources

Gauss sums and elliptic functions: II. The quartic sum

Inventiones Mathematicae, 1979
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