KZ equation on the moduli space ℳ 0,5 and the harmonic product of multiple polylogarithms

Shu Oi, Kimio Ueno

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    Abstract

    In this article, we derive a system of functional relations called the generalized harmonic product relations for hyperlogarithms on the moduli space ℳ 0,5 and show that the relations contain the harmonic product of multiple polylogarithms. The generalized harmonic product relations are equivalent to the relations which come from two decompositions of the fundamental solution normalized at the origin of the KZ equation on ℳ 0,5.

    Original languageEnglish
    Pages (from-to)983-1020
    Number of pages38
    JournalProceedings of the London Mathematical Society
    Volume105
    Issue number5
    DOIs
    Publication statusPublished - 2012 Nov

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    ASJC Scopus subject areas

    • Mathematics(all)

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