On Poly(ana)logs I

Details On Poly(ana)logs I On Poly(ana)logs I

2000-08-11

arxiv.org/abs/math/0008089v1

Mathematics

K-Theory and Homology

LaTeX, 44 pages, 1 figure (ps-version strongly recommended). Paper by Elbaz-Vincent and Gangl, an appendix by Kontsevich.

Scientific paper

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 Kontsevich's original unpublished note is supplied (with his kind permission) in an "Appendix" at the end of the paper.

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