On poly(ana)logs I
Elbaz-Vincent, Ph; Gangl, H.
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 Kontsevich's original unpublished note is supplied (with his kind permission) in an ``Appendix'' at the end of the paper.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. https://doi.org/10.1023/a%3A1013757217319
|Journal Article Type||Article|
|Deposit Date||Mar 20, 2008|
|Publisher||Cambridge University Press|
|Peer Reviewed||Peer Reviewed|
|Keywords||Polylogarithms, Finite fields, p-adic, Functional equations, Derivations, Bloch group, Goncharov complexes.|
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