An integral representation for $\zeta(4)$

Jean-Christophe Pain

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arXiv · 2309.00539

An integral representation for $\zeta(4)$

Jean-Christophe Pain

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Abstract

In 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.

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Jean-Christophe Pain. 2023-09-01. An integral representation for $\zeta(4)$. https://arxiv.org/abs/2309.00539

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