On Poly(ana)logs I, by Philippe Elbaz-Vincent and Herbert Gangl

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Kontsevich's original unpublished note is supplied (with his kind permission) in an "Appendix" at the end of the paper.

Philippe Elbaz-Vincent <pev@math.univ-montp2.fr>
Herbert Gangl <herbert@mpim-bonn.mpg.de>