• Publications
  • Influence
On the quartic Gauss sums and their recurrence property
The main purpose of this paper is, using the method of trigonometric sums and the properties of Gauss sums, to study the computational problem of one kind of congruence equation modulo an odd primeExpand
  • 12
  • 4
Some Types of Identities Involving the Legendre Polynomials
In this paper, a new non-linear recursive sequence is firstly introduced. Then, using this sequence, a computational problem involving the convolution of the Legendre polynomial is studied using theExpand
  • 6
  • 1
On Chebyshev polynomials and their applications
The main purpose of this paper is, using some properties of the Chebyshev polynomials, to study the power sum problems for the sinx and cosx functions and to obtain some interesting computationalExpand
  • 4
Bernoulli Polynomials and Their Some New Congruence Properties
TLDR
The aim of this article is to use the fundamental modus and the properties of the Euler polynomials and Bernoulli poynomials to prove some new congruences related to Bernoullomials. Expand
  • 1
  • PDF
The Euler numbers and recursive properties of Dirichlet L-functions
The aim of this paper is using an elementary method and the properties of the Bernoulli polynomials to establish a close relationship between the Euler numbers of the second kind En∗$E_{n}^{*}$ andExpand
  • 2
On the recursive properties of one kind hybrid power mean involving two-term exponential sums and Gauss sums
Abstract The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method andExpand
The Generalized Quadratic Gauss Sum and Its Fourth Power Mean
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 theExpand
A note on the fourth power mean of the generalized Kloosterman sums
Abstract In the paper [1] , the first author used the analytic methods and the properties of Gauss sums to study the computational problem of the fourth power mean of the generalized Kloosterman sumsExpand
  • 4