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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