Results 31 to 40 of about 324,501 (284)

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   +1 more source

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   +1 more source

On a Kind of Dirichlet Character Sums

Abstract and Applied Analysis, 2013
Let p≥3 be a prime and let χ denote the Dirichlet character modulo p.
Rong Ma, Yulong Zhang, Guohe Zhang
doaj   +1 more source

The distribution of the maximum of character sums

, 2012
We obtain explicit bounds on the moments of character sums, refining estimates of Montgomery and Vaughan. As an application we obtain results on the distribution of the maximal magnitude of character sums normalized by the square root of the modulus ...
Granville, Jonathan W. Bober, Leo Goldmakher   +2 more
core   +1 more source

Class number formulas via 2-isogenies of elliptic curves [PDF]

, 2012
A classical result of Dirichlet shows that certain elementary character sums compute class numbers of quadratic imaginary number fields. We obtain analogous relations between class numbers and a weighted character sum associated to a 2-isogeny of ...
McLeman, Cam, Rasmussen, Christopher
core   +1 more source

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
doaj   +1 more source

The Legendre’s Symbol Modulo p and Its Some Elementary Results

Journal of Mathematics, 2021
The main purpose of this article is using the elementary methods and the properties of the character sums to study the calculating problem of the number of the solutions for one kind congruence equation modulo p (an odd prime) and give some interesting ...
Jianghua Li, Yuan Zhang
doaj   +1 more source

A Class of Incomplete Character Sums

, 2013
Using $\ell$-adic cohomology of tensor inductions of lisse $\overline{\mathbb Q}_\ell$-sheaves, we study a class of incomplete character sums.Comment: Following the suggestion of the referee, we use tensor induction to study a class of incomplete ...
Fu, Lei, Wan, Daqing
core   +2 more sources

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
doaj   +1 more source

Computing Dirichlet character sums to a power-full modulus

, 2014
The Postnikov character formula is used to express large portions of a Dirichlet character sum in terms of quadratic exponential sums. The quadratic sums are then computed using an analytic algorithm previously derived by the author.
Hiary, Ghaith A.
core   +1 more source