Finite monodromy of Pochhammer equation
Haraoka, Yoshishige
Annales de l'Institut Fourier, Tome 44 (1994), p. 767-810 / Harvested from Numdam
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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.

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.

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     author = {Haraoka, Yoshishige},
     title = {Finite monodromy of Pochhammer equation},
     journal = {Annales de l'Institut Fourier},
     volume = {44},
     year = {1994},
     pages = {767-810},
     doi = {10.5802/aif.1417},
     mrnumber = {96c:33018},
     zbl = {0812.33006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1994__44_3_767_0}
}

Haraoka, Yoshishige. Finite monodromy of Pochhammer equation. Annales de l'Institut Fourier, Tome 44 (1994) pp. 767-810. doi : 10.5802/aif.1417. http://gdmltest.u-ga.fr/item/AIF_1994__44_3_767_0/

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