ABSTRACT. The main objective this paper is to develop asymptotic formulas for the exponential of prime number, using Dedekind eta function. 1
Let n> 1 be a positive integer, and n = pα11 · · · pαrr its prime factorization. A number d | n...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
Abstract We present the formalization of Dirichlet's theorem on the infinitude of primes in ari...
ABSTRACT. The main objective this paper is to develop asymptotic formulas for the exponential of pri...
ABSTRACT. The main goal this paper is to develop an asymptotic formula for the prime number, using e...
In his lost notebook, Ramanujan defined a parameter λn by a certain quotient of Dedekind eta-functio...
Abstract. We extend the methods of Van der Poorten and Chapman [7] for explicitly evaluating the Ded...
We give an explicit formula for the Hauptmodul (eta(tau)/eta(13 tau))(2) of the level-13 Hecke modul...
The explicit analytical formula of prime counting function is derived for accurately calculating the...
In their famous paper on partitions, Hardy and Ramanujan also raised the question of the behaviour o...
Among the thousands of discoveries made by mathematicians over the centuries, some stand out as sign...
We define ψ‾ to be the multiplicative arithmetic function that satisfies for all primes p...
Abstract. A new technique is described for explicitly evaluating quotients of the Dedekind eta funct...
Abstract The focus of this thesis is on two functions: the exponential function and Euler’s factori...
This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic ...
Let n> 1 be a positive integer, and n = pα11 · · · pαrr its prime factorization. A number d | n...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
Abstract We present the formalization of Dirichlet's theorem on the infinitude of primes in ari...
ABSTRACT. The main objective this paper is to develop asymptotic formulas for the exponential of pri...
ABSTRACT. The main goal this paper is to develop an asymptotic formula for the prime number, using e...
In his lost notebook, Ramanujan defined a parameter λn by a certain quotient of Dedekind eta-functio...
Abstract. We extend the methods of Van der Poorten and Chapman [7] for explicitly evaluating the Ded...
We give an explicit formula for the Hauptmodul (eta(tau)/eta(13 tau))(2) of the level-13 Hecke modul...
The explicit analytical formula of prime counting function is derived for accurately calculating the...
In their famous paper on partitions, Hardy and Ramanujan also raised the question of the behaviour o...
Among the thousands of discoveries made by mathematicians over the centuries, some stand out as sign...
We define ψ‾ to be the multiplicative arithmetic function that satisfies for all primes p...
Abstract. A new technique is described for explicitly evaluating quotients of the Dedekind eta funct...
Abstract The focus of this thesis is on two functions: the exponential function and Euler’s factori...
This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic ...
Let n> 1 be a positive integer, and n = pα11 · · · pαrr its prime factorization. A number d | n...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
Abstract We present the formalization of Dirichlet's theorem on the infinitude of primes in ari...