A factorization formula in Z[[x]]
نویسندگان
چکیده
Given an odd prime p, we give an explicit factorization over the ring of formal power series with integer coefficients for certain reducible polynomials whose constant term is of the form p with w > 1. Our formulas are given in terms of partial Bell polynomials and rely on the inversion formula of Lagrange. Résumé. Donné un nombre premier impair p, nous donnons une factorisation explicite sur l’anneau des séries formelles à coefficients entiers pour certains polynômes réductibles dont le terme constant est de la forme p avec w > 1. Nos formules sont donnés en termes de polynômes partiels de Bell et comptent sur la formule d’inversion de Lagrange.
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