Add to ORKGIn this note, we propose an integral representation for $\zeta(4)$, where $\zeta$ is the Riemann zeta function. The corresponding expression is obtained using relations for polylogarithms. A possible generalization to any even argument of the zeta function is considered
The aim of this paper is to investigate coefficient estimates, Fekete-Szeg˝o inequality, and upper ...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
At the negative integers, there is a simple relation between the Lerch $\Phi$ function and the polyl...
AbstractWe deduce four new integral representations for ζ(2n+1),n∈N, where ζ(s) is the Riemann zeta ...
The aim of our present work here is to present few results in the theory of Mellin transforms using ...
AbstractThe authors present a systematic investigation of the following log-gamma integral: ∫0zlogΓ(...
The Riemann hypothesis, stating that the real part of all non-trivial zero points fo the zeta functi...
In this paper, we prove a formula, expressing, in terms of the psi function and of the Riemann zeta ...
In this paper, we prove a formula, expressing, in terms of the psi function and of the Riemann zeta ...
This is a preprint of an article published in The Ramanujan Journal 5 (2001), no.2, pp.153-157. The ...
We extend the Faulhaber formula to the whole complex plane, obtaining an expression that fully resem...
AbstractA multiplication theorem for the Lerch zeta function ϕ(s,a,ξ) is obtained, from which, when ...
AbstractA variety of infinite series representations for the Hurwitz zeta function are obtained. Par...
AbstractIt is shown that an integral representation for the extension of a general Hurwitz–Lerch zet...
The aim of this paper is to investigate coefficient estimates, Fekete-Szeg˝o inequality, and upper ...
The aim of this paper is to investigate coefficient estimates, Fekete-Szeg˝o inequality, and upper ...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
At the negative integers, there is a simple relation between the Lerch $\Phi$ function and the polyl...
AbstractWe deduce four new integral representations for ζ(2n+1),n∈N, where ζ(s) is the Riemann zeta ...
The aim of our present work here is to present few results in the theory of Mellin transforms using ...
AbstractThe authors present a systematic investigation of the following log-gamma integral: ∫0zlogΓ(...
The Riemann hypothesis, stating that the real part of all non-trivial zero points fo the zeta functi...
In this paper, we prove a formula, expressing, in terms of the psi function and of the Riemann zeta ...
In this paper, we prove a formula, expressing, in terms of the psi function and of the Riemann zeta ...
This is a preprint of an article published in The Ramanujan Journal 5 (2001), no.2, pp.153-157. The ...
We extend the Faulhaber formula to the whole complex plane, obtaining an expression that fully resem...
AbstractA multiplication theorem for the Lerch zeta function ϕ(s,a,ξ) is obtained, from which, when ...
AbstractA variety of infinite series representations for the Hurwitz zeta function are obtained. Par...
AbstractIt is shown that an integral representation for the extension of a general Hurwitz–Lerch zet...
The aim of this paper is to investigate coefficient estimates, Fekete-Szeg˝o inequality, and upper ...
The aim of this paper is to investigate coefficient estimates, Fekete-Szeg˝o inequality, and upper ...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
At the negative integers, there is a simple relation between the Lerch $\Phi$ function and the polyl...