Add to ORKG23 pages. Article à paraître dans Le Ramanujan Journal.International audienceImproving an old idea of Hermite, we associate to each natural number $k$ a modified zeta function of order $k$. The evaluation of the values of these functions $F_k$ at positive integers reveals a wide class of identities linking Cauchy numbers, harmonic numbers and zeta values
AbstractIn this paper we establish some new generalizations of Aczél’s inequality and of Bellman’s i...
AbstractA class of two-sided inequalities for the Barnes G-function are presented, which extends a r...
We derive some new inequalities for perturbed trapezoid formula and give some sharp and best possibl...
AbstractWe establish a q-analogue of the Bailey–Borwein–Bradley identity generating accelerated seri...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
AbstractIn this paper we consider non-linear differential equations which are closely related to the...
In this paper, we establish several new P–Q mixed modular equations involving theta–functions which ...
AbstractIn 2001, Jinhee Yi found many explicit values of the famous Rogers–Ramanujan continued fract...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
AbstractIn this paper we consider quadrature formulas which use the derivative of only an arbitrary ...
At scattered places in his notebooks, Ramanujan recorded some theorems for calculating singular ...
AbstractBy means of the difference equation on the modified Jacobi theta function, we review the pro...
In his second notebook, Ramanujan recorded altogether 23 P–Q modular equations involving his theta f...
International audienceIn this article, we present a variety of evaluations of series of polylogarith...
AbstractIn this paper we establish some new generalizations of Aczél’s inequality and of Bellman’s i...
AbstractA class of two-sided inequalities for the Barnes G-function are presented, which extends a r...
We derive some new inequalities for perturbed trapezoid formula and give some sharp and best possibl...
AbstractWe establish a q-analogue of the Bailey–Borwein–Bradley identity generating accelerated seri...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
AbstractIn this paper we consider non-linear differential equations which are closely related to the...
In this paper, we establish several new P–Q mixed modular equations involving theta–functions which ...
AbstractIn 2001, Jinhee Yi found many explicit values of the famous Rogers–Ramanujan continued fract...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
AbstractIn this paper we consider quadrature formulas which use the derivative of only an arbitrary ...
At scattered places in his notebooks, Ramanujan recorded some theorems for calculating singular ...
AbstractBy means of the difference equation on the modified Jacobi theta function, we review the pro...
In his second notebook, Ramanujan recorded altogether 23 P–Q modular equations involving his theta f...
International audienceIn this article, we present a variety of evaluations of series of polylogarith...
AbstractIn this paper we establish some new generalizations of Aczél’s inequality and of Bellman’s i...
AbstractA class of two-sided inequalities for the Barnes G-function are presented, which extends a r...
We derive some new inequalities for perturbed trapezoid formula and give some sharp and best possibl...