On Poly(ana)logs I
K-Theory and Homology
2007-05-23 v1 Number Theory
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 Kontsevich's original unpublished note is supplied (with his kind permission) in an "Appendix" at the end of the paper.
Cite
@article{arxiv.math/0008089,
title = {On Poly(ana)logs I},
author = {Philippe Elbaz-Vincent and Herbert Gangl and Maxim Kontsevich},
journal= {arXiv preprint arXiv:math/0008089},
year = {2007}
}
Comments
LaTeX, 44 pages, 1 figure (ps-version strongly recommended). Paper by Elbaz-Vincent and Gangl, an appendix by Kontsevich.