no. 3
Finite monodromy of Pochhammer equation
Annales de l'Institut Fourier, Tome 44 (1994) no. 3, pp. 767-810

We consider the monodromy group G of the Pochhammer differential equation 𝒫. Let 𝒫 p be the reduce equation modulo a prime p. Then we show that G is finite if and only if 𝒫 p has a full set of polynomial solutions for almost all primes p.

Nous considérons le groupe de monodromie G de l’équation différentielle de Pochhammer 𝒫. Soit 𝒫 p l’équation réduite modulo un nombre premier p. Alors, on montre que G est fini si et seulement si 𝒫 p admet un système fondamental de solutions polynomiales pour presque tous les nombres premiers.

Haraoka, Yoshishige. Finite monodromy of Pochhammer equation. Annales de l'Institut Fourier, Tome 44 (1994) no. 3, pp. 767-810. doi: 10.5802/aif.1417
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