Analytic Number Theory Research

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• MURSALEEN ÜLKESİNDE KULLANILMIYOR

We introduce a method for showing that there exist prime numbers which are very close together. The method depends on the level of distribution of primes in arithmetic progressions. Assuming the Elliott-Halberstam conjecture, we prove that there are infinitely often primes differing by 16 or less. Even a much weaker c…

• CEM YALÇIN YILDIRIM

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• NECDET BATIR

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• HACER ÖZDEN AYNA

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• SERKAN ARACI

We consider weighted q‐Genocchi numbers and polynomials. We investigated some interesting properties of the weighted q‐Genocchi numbers related to weighted q‐Bernstein polynomials by using fermionic p‐adic integrals on ℤp.

• SERKAN ARACI

The main purpose of this paper is to construct generating functions for some families of Genocchi type polynomials. By applying the derivative operator to these generating functions, we define a function which interpolates these polynomials at negative integers. Among other results, we prove a multiplication theorem f…

• BURAK KURT

The aim of this paper, firstly, is to construct generating functions of q‐Euler numbers and polynomials of higher order by applying the fermionic p‐adic q‐Volkenborn integral, secondly, to define multivariate q‐Euler zeta function (Barnes‐type Hurwitz q‐Euler zeta function) and l‐function which interpolate these numbe…

• İSMAİL NACİ CANGÜL

The aim of this paper, firstly, is to construct generating functions of q‐Euler numbers and polynomials of higher order by applying the fermionic p‐adic q‐Volkenborn integral, secondly, to define multivariate q‐Euler zeta function (Barnes‐type Hurwitz q‐Euler zeta function) and l‐function which interpolate these numbe…

• İSMAİL NACİ CANGÜL
• YILMAZ ŞİMŞEK

Abstract We introduce a family of algebraic curves over 𝔽 q 2n (for an odd n) and show that they are maximal. When n = 3, our curve coincides with the 𝔽 q 6 -maximal curve that has been found by Giulietti and Korchmáros recently. Their curve (i.e., the case n = 3) is the first example of a maximal curve proven not to…

The aim of this paper, firstly, is to construct generating functions of q‐Euler numbers and polynomials of higher order by applying the fermionic p‐adic q‐Volkenborn integral, secondly, to define multivariate q‐Euler zeta function (Barnes‐type Hurwitz q‐Euler zeta function) and l‐function which interpolate these numbe…

• HACER ÖZDEN AYNA
• İSMAİL NACİ CANGÜL

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• AYHAN DİL