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arXiv · 1908.04770

On functional equations for Nielsen polylogarithms

Steven Charlton·Herbert Gangl·Danylo Radchenko
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Abstract

We derive new functional equations for Nielsen polylogarithms. We show that, when viewed modulo $\mathrm{Li}_5$ and products of lower weight functions, the weight $5$ Nielsen polylogarithm $S_{3,2}$ satisfies the dilogarithm five-term relation. We also give some functional equations and evaluations for Nielsen polylogarithms in weights up to 8, and general families of identities in higher weight.

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Steven Charlton, Herbert Gangl, Danylo Radchenko. 2019-08-13. On functional equations for Nielsen polylogarithms. https://arxiv.org/abs/1908.04770

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