ABSTRACT. The main objective this paper is to develop asymptotic formulas for the exponential of prime number, using Dedekind eta function, and afterwards an elliptic modular function. 1
Abstract. A new technique is described for explicitly evaluating quotients of the Dedekind eta funct...
AbstractRamanujan derived 23 beautiful eta-function identities, which are certain types of modular e...
International audienceIn this paper the author gives formulas for the prime counting function and fo...
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...
We give an explicit formula for the Hauptmodul (eta(tau)/eta(13 tau))(2) of the level-13 Hecke modul...
Abstract. We extend the methods of Van der Poorten and Chapman [7] for explicitly evaluating the Ded...
International audienceWe examine a class of functions on $X_0 (N)$ where $N$ is the product of two a...
Let n> 1 be a positive integer, and n = pα11 · · · pαrr its prime factorization. A number d | n...
Among the thousands of discoveries made by mathematicians over the centuries, some stand out as sign...
The explicit analytical formula of prime counting function is derived for accurately calculating the...
We define ψ‾ to be the multiplicative arithmetic function that satisfies for all primes p...
In their famous paper on partitions, Hardy and Ramanujan also raised the question of the behaviour o...
This thesis presents an insight in the Riemann zeta function and the prime number theorem at an unde...
Abstract. A new technique is described for explicitly evaluating quotients of the Dedekind eta funct...
AbstractRamanujan derived 23 beautiful eta-function identities, which are certain types of modular e...
International audienceIn this paper the author gives formulas for the prime counting function and fo...
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...
We give an explicit formula for the Hauptmodul (eta(tau)/eta(13 tau))(2) of the level-13 Hecke modul...
Abstract. We extend the methods of Van der Poorten and Chapman [7] for explicitly evaluating the Ded...
International audienceWe examine a class of functions on $X_0 (N)$ where $N$ is the product of two a...
Let n> 1 be a positive integer, and n = pα11 · · · pαrr its prime factorization. A number d | n...
Among the thousands of discoveries made by mathematicians over the centuries, some stand out as sign...
The explicit analytical formula of prime counting function is derived for accurately calculating the...
We define ψ‾ to be the multiplicative arithmetic function that satisfies for all primes p...
In their famous paper on partitions, Hardy and Ramanujan also raised the question of the behaviour o...
This thesis presents an insight in the Riemann zeta function and the prime number theorem at an unde...
Abstract. A new technique is described for explicitly evaluating quotients of the Dedekind eta funct...
AbstractRamanujan derived 23 beautiful eta-function identities, which are certain types of modular e...
International audienceIn this paper the author gives formulas for the prime counting function and fo...