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arXiv · 1112.1474

Dihedral symmetries of multiple logarithms

Susama Agarwala
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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.

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Susama Agarwala. 2015-10-19. Dihedral symmetries of multiple logarithms. https://arxiv.org/abs/1112.1474

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