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Une Caractérisation des Polynômes Prenant des Valeurs Entières Sur Tous les Nombres Premiers

Published online by Cambridge University Press:  20 November 2018

Jean-Luc Chabert
Jean-Luc Chabert*
Affiliation:
Département de Mathématiques, Institut Supérieur des Sciences et Techniques de St. Quentin Université de Picardie 48, rue Raspail 02109 St. Quentin, France, e-mail: jean-luc.chabert@u-picardie.fr
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Abstract

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We give a characterization of polynomials with rational coefficients which take integral values on the prime numbers: to test a polynomial of degree n, it is enough to consider its values on the integers from 1 to 2n —1.

Résumé

Résumé

Nous donnons une caractérisation des polynômes à coefficients rationnels prenant des valeurs entières sur tous les nombres premiers: pour tester un polynôme donné de degré n, il suffit de considérer ses valeurs sur les entiers de 1 à 2n — 1.

Keywords

11C0811A4111Y16
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 4 , 01 December 1996 , pp. 402 - 407
Copyright
Copyright © Canadian Mathematical Society 1996

References

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