2 citations · 3 across the 3 of their papers we have counts for
4 papers
Multiple polylogarithms, polygons, trees and algebraic cycles
Herbert Gangl, Alexander B. Goncharov, Andrey Levin
We construct algebraic cycles in Bloch's cubical cycle group which correspond to multiple polylogarithms with generic arguments. Moreover, we construct out of them a Hopf subalgebr…
Multiple logarithms, algebraic cycles and trees
Herbert Gangl, Alexander B. Goncharov, Andrey Levin
This is a short exposition--mostly by way of the toy models ``double logarithm'' and ``triple logarithm''--which should serve as an introduction to a forthcoming article in which w…
Functional equations of higher logarithms
Herbert Gangl
We give the first genuine 2-variable functional equation for the 7--logarithm. We investigate and relate identities for the 3-logarithm given by Goncharov and Wojtkowiak and deduce…
On Poly(ana)logs I
Philippe Elbaz-Vincent, Herbert Gangl, Maxim Kontsevich
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 Konts…