Algebraic A-hypergeometric functions

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    Abstract

    We formulate and prove a combinatorial criterion to decide if an A-hypergeometric system of differential equations has a full set of algebraic solutions or not. This criterion generalises the so-called interlacing criterion in the case of hypergeometric functions of one variable.
    Original languageEnglish
    Pages (from-to)589-610
    Number of pages22
    JournalInventiones Mathematicae
    Volume180
    Issue number3
    DOIs
    Publication statusPublished - 2010

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