Elbaz-Vincent, P. and Gangl, H. (2002) 'On poly(ana)logs I.', Compositio mathematica., 130 (2). pp. 161-214.
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 Kontsevich's original unpublished note is supplied (with his kind permission) in an ``Appendix'' at the end of the paper.
|Keywords:||Polylogarithms, Finite fields, p-adic, Functional equations, Derivations, Bloch group, Goncharov complexes.|
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|Publisher Web site:||http://dx.doi.org/10.1023/A:1013757217319|
|Record Created:||20 Mar 2008|
|Last Modified:||08 Apr 2009 16:30|
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