An integral representation for ζ(4)

2023/09/01 by Jean‐Christophe Pain, Pain, Jean-Christophe
Mathematics · Chemistry · #Advanced Mathematical Identities #Analytic Number Theory Research #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.2309.00539

Abstract

In this note, we propose an integral representation for ζ(4), where ζ 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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