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On poly(ana)logs I

Elbaz-Vincent, Ph; Gangl, H.


Ph Elbaz-Vincent


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 Kontsevich's original unpublished note is supplied (with his kind permission) in an ``Appendix'' at the end of the paper.


Elbaz-Vincent, P., & Gangl, H. (2002). On poly(ana)logs I. Compositio Mathematica, 130(2), 161-214.

Journal Article Type Article
Publication Date 2002-01
Deposit Date Mar 20, 2008
Journal Compositio Mathematica
Print ISSN 0010-437X
Electronic ISSN 1570-5846
Publisher Cambridge University Press
Peer Reviewed Peer Reviewed
Volume 130
Issue 2
Pages 161-214
Keywords Polylogarithms, Finite fields, p-adic, Functional equations, Derivations, Bloch group, Goncharov complexes.