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On Poly(ana)logs I

Philippe Elbaz-Vincent·Herbert Gangl·Maxim Kontsevich
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Abstract

We investigate a connection between the differential of polylogarithms (as considered by Cathelineau) and a finite variant of them. This allows to answer a question raised by Kontsevich concerning the construction of functional equations for the finite analogs, using in part the p-adic version of polylogarithms and recent work of Besser. Kontsevich's original unpublished note is supplied (with his kind permission) in an "Appendix" at the end of the paper.

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Philippe Elbaz-Vincent, Herbert Gangl, Maxim Kontsevich. 2000-08-11. On Poly(ana)logs I. https://arxiv.org/abs/math/0008089

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