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

Author:

Chabert Jean-Luc

Abstract

AbstractWe 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 15 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The factorial function and generalizations, extended;Journal of Number Theory;2024-01

2. Bhargava’s Exponential Functions and Bernoulli Numbers Associated to the Set of Prime Numbers;Algebraic, Number Theoretic, and Topological Aspects of Ring Theory;2023

3. Test sets for polynomials: n -universal subsets and Newton sequences;Journal of Algebra;2018-05

4. What You Should Know About Integer-Valued Polynomials;The American Mathematical Monthly;2016-04

5. On Bhargava's factorials of the set of twin primes in ℤ and in q[T];International Journal of Number Theory;2015-08-26

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