Dihedral symmetries of multiple logarithms

Details Dihedral symmetries of multiple logarithms Dihedral symmetries of multiple logarithms

2011-12-07

arxiv.org/abs/1112.1474v1

Mathematics

Number Theory

Scientific paper

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.

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