An integral representation for $\zeta(4)$
Number Theory
2023-09-04 v1
Abstract
In this note, we propose an integral representation for , where 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.
Cite
@article{arxiv.2309.00539,
title = {An integral representation for $\zeta(4)$},
author = {Jean-Christophe Pain},
journal= {arXiv preprint arXiv:2309.00539},
year = {2023}
}