Results 11 to 20 of about 2,339,875 (281)

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   +4 more sources

The fourth power mean of the three–term exponential sums

Electronic Research Archive
By employing trigonometric sums and solving congruence equations, this paper explores the power mean of a specific class of high–order three–term exponential sums, and derives intriguing identities in the process.
Xiaoge Liu, Guohui Chen
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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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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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A sum analogous to Kloosterman sum and its fourth power mean

AIMS Mathematics, 2020
The main purpose of this paper is using the analytic methods and the properties of the Legendre’s symbol and quadratic residue mod p to study the computational problem of the fourth power mean of a sum analogous to Kloosterman sum, and give a sharp ...
He Yanqin, Zhu Chaoxi, Chen Zhuoyu
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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
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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
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The fourth power mean of Dirichlet L-functions in $${\mathbb {F}}_q [T]$$ [PDF]

Revista Matemática Complutense, 2020
AbstractWe prove results on moments of L-functions in the function field setting, where the moment averages are taken over primitive characters of modulus R, where R is a polynomial in $${\mathbb {F}}_{q}[T]$$ F q
Julio Cesar Andrade, Michael Yiasemides
semanticscholar   +6 more sources

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
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The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums

Journal of Mathematics, 2021
In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for it.
Zhang Jin, Zhang Jiafan
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