Inventiones mathematicae

, Volume 180, Issue 3, pp 589–610 | Cite as

Algebraic A-hypergeometric functions

  • Frits Beukers
Open Access


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.


Hypergeometric Function Polynomial Solution Algebraic Solution Hypergeometric Equation Fuchsian System 
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© The Author(s) 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversiteit UtrechtUtrechtThe Netherlands

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