Geodesic
Further irreducibility criteria for polynomials with non-negative coefficients
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.
Acta Arithmetica, Tome 175 (2016) no. 2, pp. 137-181 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     author = {Morgan Cole and Scott Dunn and Michael Filaseta},
     title = {Further irreducibility criteria for polynomials with non-negative coefficients},
     journal = {Acta Arithmetica},
     pages = {137--181},
     year = {2016},
     volume = {175},
     number = {2},
     doi = {10.4064/aa8376-5-2016},
     language = {en},
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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

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