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Nombres de racines d’un polynôme entier modulo q

Monique BrantonOlivier Ramaré — 1998

Journal de théorie des nombres de Bordeaux

Nous montrons que l’ensemble des racines modulo une puissance d’un nombre premier d’un polynôme à coefficients entiers de degré d est une union d’au plus d progressions arithmétiques de modules assez grands. Nous en déduisons une majoration du nombre de ses racines dans un intervalle réel court.

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