%0 Journal Article %T Algebraic A-hypergeometric Functions %A Frits Beukers %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0812.1134v1