Geodesic
Further irreducibility criteria for polynomials with non-negative coefficients
Morgan Cole1 ; Scott Dunn2 ; Michael Filaseta2
1 Department of Mathematics College of the Canyons 26455 Rockwell Canyon Rd Santa Clarita, CA 91355, U.S.A.
2 Department of Mathematics University of South Carolina Columbia, SC 29208, U.S.A.
Acta Arithmetica, Tome 175 (2016) no. 2, pp. 137-181.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $f(x)$ be a polynomial with non-negative integer coefficients. This paper produces sharp bounds $M_{1}(b)$ depending on an integer $b \in [3,20]$ such that if each coefficient of $f(x)$ is $\le M_{1}(b)$ and $f(b)$ is prime, then $f(x)$ is irreducible. A number of other related results are obtained.
DOI : 10.4064/aa8376-5-2016
Keywords: polynomial non negative integer coefficients paper produces sharp bounds depending integer each coefficient prime irreducible number other related results obtained

Morgan Cole 1 ; Scott Dunn 2 ; Michael Filaseta 2

1 Department of Mathematics College of the Canyons 26455 Rockwell Canyon Rd Santa Clarita, CA 91355, U.S.A.
2 Department of Mathematics University of South Carolina Columbia, SC 29208, U.S.A. 
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Morgan Cole; Scott Dunn; Michael Filaseta. Further irreducibility criteria for polynomials with non-negative coefficients. Acta Arithmetica, Tome 175 (2016) no. 2, pp. 137-181. doi : 10.4064/aa8376-5-2016. http://geodesic.mathdoc.fr/articles/10.4064/aa8376-5-2016/

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