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On Poly(ana)logs I

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 po...

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Bibliographic Details
Published in:arXiv.org 2000-08
Main Authors: Elbaz-Vincent, Philippe, Gangl, Herbert, Kontsevich, Maxim
Format: Article
Language:English
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Summary: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 Kontsevich's original unpublished note is supplied (with his kind permission) in an "Appendix" at the end of the paper.
ISSN:2331-8422