Results 1 to 10 of about 326,856 (211)

On the fourth power mean of the two-term exponential sums. [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 fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.
Zhang H, Zhang W.
europepmc   +2 more sources

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.
europepmc   +2 more sources

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
doaj   +2 more sources

The Generalized Quadratic Gauss Sum and Its Fourth Power Mean

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
doaj   +3 more sources

On the generalized exponential sums and their fourth power mean

Open Mathematics
The main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a
Liu Wencong, Ning Shushu
doaj   +2 more sources

One special kind of Kloosterman sum and its fourth-power mean

Open Mathematics
This article aims to investigate the calculation problem of the fourth-power mean of the specific Kloosterman sums by utilizing analytic methods and the properties of classical Gauss sums.
Zhang Wenpeng, Wang Li, Liu Xiaoge
doaj   +2 more sources

The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums

Mathematics
In this paper, we consider the fourth hybrid power mean involving two-term exponential sums and third-order character sum modulo p, a topic of significant importance in analytic number theory.
Guohui Chen, Tingting Du
doaj   +3 more sources

A Conversion Formula for One Kind Fourth Power Mean of Kloosterman Sums and the Character Sums Module p

Journal of Mathematics
The primary contribution of this paper is to research one kind special Kloosterman sums using analytic method. We translate one kind fourth power mean of the Kloosterman sums into the character sums of one kind polynomials. It is possible to construct an
Shushu Ning, Xuexia Wang
doaj   +2 more sources

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
doaj   +1 more source

On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums

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
doaj   +1 more source