AbstractThe analytical calculation of a family of definite multiple integrals parameterized by two complex parameters is presented. As a consequence, new series and integrals can be calculated and added to the table books
AbstractIt is shown how to evaluate functions of the form ∑ml,…mN=1∞ (c1m1+c2m2+⋯+cnmm)−s in terms o...
We derive some series related to the polylogarithmic function, and we also give a new proof to the e...
With a possible connection to integrals used in General Relativity, we used our contour integral met...
AbstractThe analytical calculation of a family of definite multiple integrals parameterized by two c...
AbstractThe analytic calculation of a generalization of the integral representation of the polylogar...
"Various aspects of multiple zeta values". July 23～26, 2013. edited by Kentaro Ihara. The papers pre...
This thesis is an exposition of the Riemann zeta function. Included are techniques of  analytic co...
AbstractThe authors apply the theory of multiple Gamma functions, which was recently revived in the ...
The aim of this thesis is to expose the basic theory of the Riemann zeta function and some of its cl...
As a generalization of Riemann-Liouville integral, we introduce integral transformations of converge...
We consider the entire function [formula omitted] whose set of zeros includes the zeros of [formul...
We show that a duality formula for certain parametrized multiple series yields numerous relations am...
textIn this paper, the methods of D. Zagier, J. Borwein, and R. Girgensohn for proving evaluations ...
AbstractWe show how various known results concerning the Barnes multiple zeta and gamma functions ca...
In this manuscript, the authors derive closed formula for definite integrals of combinations of powe...
AbstractIt is shown how to evaluate functions of the form ∑ml,…mN=1∞ (c1m1+c2m2+⋯+cnmm)−s in terms o...
We derive some series related to the polylogarithmic function, and we also give a new proof to the e...
With a possible connection to integrals used in General Relativity, we used our contour integral met...
AbstractThe analytical calculation of a family of definite multiple integrals parameterized by two c...
AbstractThe analytic calculation of a generalization of the integral representation of the polylogar...
"Various aspects of multiple zeta values". July 23～26, 2013. edited by Kentaro Ihara. The papers pre...
This thesis is an exposition of the Riemann zeta function. Included are techniques of  analytic co...
AbstractThe authors apply the theory of multiple Gamma functions, which was recently revived in the ...
The aim of this thesis is to expose the basic theory of the Riemann zeta function and some of its cl...
As a generalization of Riemann-Liouville integral, we introduce integral transformations of converge...
We consider the entire function [formula omitted] whose set of zeros includes the zeros of [formul...
We show that a duality formula for certain parametrized multiple series yields numerous relations am...
textIn this paper, the methods of D. Zagier, J. Borwein, and R. Girgensohn for proving evaluations ...
AbstractWe show how various known results concerning the Barnes multiple zeta and gamma functions ca...
In this manuscript, the authors derive closed formula for definite integrals of combinations of powe...
AbstractIt is shown how to evaluate functions of the form ∑ml,…mN=1∞ (c1m1+c2m2+⋯+cnmm)−s in terms o...
We derive some series related to the polylogarithmic function, and we also give a new proof to the e...
With a possible connection to integrals used in General Relativity, we used our contour integral met...
DOI
Add to ORKG