Results 31 to 40 of about 1,085,814 (285)
, 2002 There is a body of work in the literature on various restricted sums of the number of divisors of an integer function including that described in [2-9, 11] and summarised in Section 2 ...
Broughan, Kevin A.
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A Certain Mean Square Value Involving Dirichlet L-Functions
Mathematics, 2020 The main purpose of this article is using the elementary methods, the properties of Dirichlet L-functions to study the computational problem of a certain mean square value involving Dirichlet L-functions at positive integer points, and give some exact ...
Wenpeng Zhang, Di Han
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Note on the quadratic Gauss sums
International Journal of Mathematics and Mathematical Sciences, 2001 Let p be an odd prime and {χ(m)=(m/p)}, m=0,1,...,p−1 be a finite arithmetic sequence with elements the values of a Dirichlet character χ modp which are defined in terms of the Legendre symbol (m/p), (m,p)=1. We study the relation between the Gauss and
George Danas
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On certain exponential and character sums [PDF]
, 2017 This thesis considers four distinct problems in the area of exponential and character sums. The strategy used to approach each problem can be considered as falling roughly into what is known as Vinogradov's method.
Kerr, Bryce
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On the fourth-order linear recurrence formula related to classical Gauss sums
Open Mathematics, 2017 Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the properties of character sums mod p to study the computational problem of G(k, p) = τk(ψ)+τk(ψ ...
Zhuoyu Chen, Wenpeng Zhang
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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
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An Algorithm for the explicit evaluation of GL(n, R) Kolsterman sums [PDF]
, 2009 An algorithm for the explicit evaluation of Kloosterman sums for GL(n, R) for n ≥2 and an implementation in the Mathematics package GL(n) pack are ...
Broughan, Kevin A.
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On the first power mean of L-functions with the weight of general Kloosterman sums
International Journal of Mathematics and Mathematical Sciences, 2002 The main purpose of this paper is using the estimates for character sums and the analytic method to study the first power mean of Dirichlet L-functions with the weight of general Kloosterman sums, and give an interesting asymptotic formula.
Zhang Wenpeng
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Tokyo Journal of Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the distribution of Low Hamming Weight products
Journal of Inequalities and Applications, 2020 Jeffrey Hoffstein et al. (Discrete Appl. Math. 130:37–49, 2003) introduced the Low Hamming Weight products (LHWP) X = x 1 x 2 x 3 $X=x_{1}x_{2}x_{3}$ as random exponent of elements in a group or a ring to improve the operational efficiency, where each x ...
Jianghua Li, Qiao Li
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