Ph Elbaz-Vincent
On poly(ana)logs I
Elbaz-Vincent, Ph; Gangl, H.
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 Kontsevich's original unpublished note is supplied (with his kind permission) in an ``Appendix'' at the end of the paper.
Citation
Elbaz-Vincent, P., & Gangl, H. (2002). On poly(ana)logs I. Compositio Mathematica, 130(2), 161-214. https://doi.org/10.1023/a%3A1013757217319
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 |
DOI | https://doi.org/10.1023/a%3A1013757217319 |
Keywords | Polylogarithms, Finite fields, p-adic, Functional equations, Derivations, Bloch group, Goncharov complexes. |
Public URL | https://durham-repository.worktribe.com/output/1593473 |
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