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

Published online by Cambridge University Press:  20 November 2018

Anca Iuliana Bonciocat  and
Nicolae Ciprian Bonciocat
Anca Iuliana Bonciocat
Affiliation:
Institute of Mathematics, of the Romanian Academy, Bucharest 014700, Romania e-mail: Anca.Bonciocat@imar.roNicolae.Bonciocat@imar.ro
Nicolae Ciprian Bonciocat
Affiliation:
Institute of Mathematics, of the Romanian Academy, Bucharest 014700, Romania e-mail: Anca.Bonciocat@imar.roNicolae.Bonciocat@imar.ro
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Abstract

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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.

Keywords

11C0811R09Estimates for polynomial rootsirreducible polynomials
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 4 , 01 December 2009 , pp. 511 - 520
Copyright
Copyright © Canadian Mathematical Society 2009

References

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