289 citations · 330 across the 18 of their papers we have counts for
4 papers · 1 filter
Hyperbolic tessellations and generators of K_3 for imaginary quadratic fields
David Burns, Rob de Jeu, Herbert Gangl +2
We develop methods for constructing explicit generators, modulo torsion, of the K_3-groups of imaginary quadratic number fields. These methods are based on either tessellations of…
On the toplogical computation of K4 of the Gaussian and Eisenstein integers
Mathieu Dutour Sikiric, Herbert Gangl, Paul E. Gunnells +3
In this paper we use topological tools to investigate the structure of the algebraic K-groups K_4 (Z[i]) and K_4 (Z[rho]), where i := sqrt{-1} and rho := (1+sqrt{-3})/2. We exploit…
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…