On generalized hypergeometric equations and mirror maps
Résumé
This paper deals with generalized hypergeometric differential equations of order $ n \geq 3$ having maximal unipotent monodromy at 0. We show that among these equations those leading to mirror maps with integral Taylor coefficients at 0 (up to simple rescaling) have special parameters, namely $ R$-partitioned parameters. This result yields the classification of all generalized hypergeometric differential equations of order $ n \geq 3$ having maximal unipotent monodromy at 0 such that the associated mirror map has the above integrality property.