Sur la conjecture de Zagier pour n=4. II
K-Theory and Homology
2011-01-11 v1 Number Theory
Abstract
We express a general multiple polylogarithm of weight n as an explicit linear combination of multiple polylogarithms of weight n in n-2 variables. We express a general multiple polylogarithm of weight 4 as an explicit linear combination of multiple polylogarithms of type (3,1). We deduce a 4 parameters functional equation expressing a certain linear combination of multiple polylogarithms of type (3,1) as a linear combination of polylogarithms of weight 4.
Cite
@article{arxiv.1101.1557,
title = {Sur la conjecture de Zagier pour n=4. II},
author = {Nicusor Dan},
journal= {arXiv preprint arXiv:1101.1557},
year = {2011}
}
Comments
6 pages