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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The generalized Kloosterman's sums and its fourth power mean
AIMS Mathematics, 2023 The main purpose of this article is to study the calculating problem of one kind fourth power mean of the generalized Kloosterman's sums and provide an accurate calculating formula for it utilizing analytical methods and character sums' properties ...
Junfeng Cui, Li Wang
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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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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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The fourth power mean of Dirichlet L-functions in Fq[T]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {F}}_q [PDF]
Revista Matemática Complutense, 2020 We 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 Fq[T]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \
J. Andrade, Michael Yiasemides
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Journal of MathematicsThe 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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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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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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On the fourth power mean of the general k th Kloosterman sums [PDF]
Advances in Difference Equations, 2014 Let q>2 be an integer, and let χ be a Dirichlet character modulo q. For integers m, n and k, the general k th Kloosterman sum S(m,n,k,χ;q) is defined by S(m,n,k,χ;q)=∑′a=1qχ(a)e(mak+na¯kq), where ∑′ denotes the summation over all a with (a,q)=1, e(y ...
X. Guo, Guohua Geng, Xiao-Jun Pan
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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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