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

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