paper

Functional equations of higher logarithms

arXiv:math/0207222

Abstract

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 a certain family of functional equations for the 4-logarithm.

14 pages, final version, to appear in Selecta Mathematica