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The Irreducibility of Polynomials That Have One Large Coefficient and Take a Prime Value

Published:2009-12-01
Printed: Dec 2009
• Anca Iuliana Bonciocat
• Nicolae Ciprian Bonciocat
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Abstract

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.
 Keywords: Estimates for polynomial roots, irreducible polynomials
 MSC Classifications: 11C08 - Polynomials [See also 13F20] 11R09 - Polynomials (irreducibility, etc.)