Functional equations of polygonal type for multiple polylogarithms in weights 5, 6 and 7
Number Theory
2020-12-18 v1
Abstract
We present new functional equations in weights 5, 6 and 7 and use them for explicit depth reduction of multiple polylogarithms. These identities generalize the crucial identity from the recent work of Goncharov and Rudenko that was used in their proof of the weight 4 case of Zagier's Polylogarithm Conjecture.
Keywords
Cite
@article{arxiv.2012.09840,
title = {Functional equations of polygonal type for multiple polylogarithms in weights 5, 6 and 7},
author = {Steven Charlton and Herbert Gangl and Danylo Radchenko},
journal= {arXiv preprint arXiv:2012.09840},
year = {2020}
}
Comments
6 pages, 4 figures