The Irreducibility of Polynomials That Have One Large Coefficient and Take a Prime Value
Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 511-520
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We use some classical estimates for polynomial roots to provide several irreducibility criteria for polynomials with integer coefficients that have one sufficiently large coefficient and take a prime value.
Mots-clés :
11C08, 11R09, Estimates for polynomial roots, irreducible polynomials
Bonciocat, Anca Iuliana; Bonciocat, Nicolae Ciprian. The Irreducibility of Polynomials That Have One Large Coefficient and Take a Prime Value. Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 511-520. doi: 10.4153/CMB-2009-052-9
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author = {Bonciocat, Anca Iuliana and Bonciocat, Nicolae Ciprian},
title = {The {Irreducibility} of {Polynomials} {That} {Have} {One} {Large} {Coefficient} and {Take} a {Prime} {Value}},
journal = {Canadian mathematical bulletin},
pages = {511--520},
year = {2009},
volume = {52},
number = {4},
doi = {10.4153/CMB-2009-052-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-052-9/}
}
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