Results 11 to 20 of about 2,079,266 (281)

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
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   +4 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
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The fourth power mean of the generalized quadratic Gauss sums associated with some Dirichlet characters

AIMS Mathematics
In this paper, the fourth power mean values of the generalized quadratic Gauss sums associated with the $ 3 $-order and $ 4 $-order Dirichlet characters are given by using the properties of the Dirichlet characters and Gauss sums.
Xuan Wang, Li Wang , Guohui Chen
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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
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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

Fourth power mean values of one kind special Kloosterman's sum

Electronic Research Archive, 2023
The main purpose of this article is using the analytic methods and properties of classical Gauss sums to study the calculating problem of fourth power mean values of one kind special Kloosterman's sum, and give a sharp asymptotic formula for it.
Li Rui, Nilanjan Bag
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Generalized polynomial exponential sums and their fourth power mean

Electronic Research Archive, 2023
The study of the power mean of the generalized polynomial exponential sums plays a very important role in analytic number theory, and many classical number theory problems are closely related to it.
Li Wang, Yuanyuan Meng
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On the fourth power mean of the general k th Kloosterman sums [PDF]

Advances in Difference Equations, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Xiaoyan, Geng, Guohua, Pan, Xiaowei
semanticscholar   +4 more sources

A certain new Gauss sum and its fourth power mean

AIMS Mathematics, 2020
The main purpose of this paper is using the elementary methods and the properties of the Legendre symbol to study the computational problem of the fourth power mean of a certain generalized quadratic Gauss sum, and give two exact calculating formulae for
Yan Zhao, Wenpeng Zhang, Xingxing Lv
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