Add to ORKGIn this article we derive a limit representation for a class of analytic functions, which gen-eralizes Lanczos limit formula for Gamma function. This limit representation is valid in the entire complex plane and it is shown to be an analogue of the Euler-Maclaurin summation formula. As examples we provide approximations to Gamma function and Riemann zeta func-tion, and as a corollary we derive a characterization of the nontrivial zeros of the Riemann zeta function
summary:In the paper discrete limit theorems in the sense of weak convergence of probability measure...
In the paper a generalized limit theorem in the sense of the weak convergence of probability measure...
In this paper we develop Windschitl’s approximation formula for the gamma function by giving two asy...
In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations wh...
In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations wh...
This thesis is an analysis of C . Lanczos' approximation of the classical gamma function Γ(z + 1) as...
AbstractWe obtain a “Kronecker limit formula” for the Epstein zeta function. This is done by introdu...
This thesis is an analysis of C . Lanczos' approximation of the classical gamma function Γ(z + 1) as...
The Lerch zeta-function is the first monograph on this topic, which is a generalization of the class...
AbstractIn the present paper we introduce some expansions which use the falling factorials for the E...
To evaluate Riemann’s zeta function is important for many investigations related to the area of numb...
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L...
. A limit theorem in the space of continuous functions for the Dirichlet polynomial X mT d T (m) ...
We obtain a generalized limit theorem in the sense of weak convergence of probability measures on th...
This paper continues a series of investigations on converging representations for the Riemann Zeta f...
summary:In the paper discrete limit theorems in the sense of weak convergence of probability measure...
In the paper a generalized limit theorem in the sense of the weak convergence of probability measure...
In this paper we develop Windschitl’s approximation formula for the gamma function by giving two asy...
In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations wh...
In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations wh...
This thesis is an analysis of C . Lanczos' approximation of the classical gamma function Γ(z + 1) as...
AbstractWe obtain a “Kronecker limit formula” for the Epstein zeta function. This is done by introdu...
This thesis is an analysis of C . Lanczos' approximation of the classical gamma function Γ(z + 1) as...
The Lerch zeta-function is the first monograph on this topic, which is a generalization of the class...
AbstractIn the present paper we introduce some expansions which use the falling factorials for the E...
To evaluate Riemann’s zeta function is important for many investigations related to the area of numb...
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L...
. A limit theorem in the space of continuous functions for the Dirichlet polynomial X mT d T (m) ...
We obtain a generalized limit theorem in the sense of weak convergence of probability measures on th...
This paper continues a series of investigations on converging representations for the Riemann Zeta f...
summary:In the paper discrete limit theorems in the sense of weak convergence of probability measure...
In the paper a generalized limit theorem in the sense of the weak convergence of probability measure...
In this paper we develop Windschitl’s approximation formula for the gamma function by giving two asy...