Sur la conjecture de Zagier pour n=4
K-Theory and Homology
2008-09-24 v1 Number Theory
Abstract
We express a general 4-hyperlogarithm as a linear combination of 4-hyperlogarithms in two variables. We reduce the Zagier's conjecture for to a combinatorial statement. We give a short survey of the strategy of Goncharov and Zagier for reducing the Zagier's conjecture for general to combinatorial relations between hyperlogarithms. Such a survey is missing in the literature.
Cite
@article{arxiv.0809.3984,
title = {Sur la conjecture de Zagier pour n=4},
author = {Nicusor Dan},
journal= {arXiv preprint arXiv:0809.3984},
year = {2008}
}