Dihedral symmetries of multiple logarithms
Number Theory
2015-10-20 v2 Combinatorics
Abstract
This paper finds relationships between multiple logarithms with a dihedral group action on the arguments. I generalize the combinatorics developed in Gangl, Goncharov and Levin's R-deco polygon representation of multiple logarithms to find these relations. By writing multiple logarithms as iterated integrals, my arguments are valid for iterated integrals as over an arbitrary field.
Cite
@article{arxiv.1112.1474,
title = {Dihedral symmetries of multiple logarithms},
author = {Susama Agarwala},
journal= {arXiv preprint arXiv:1112.1474},
year = {2015}
}