On the irreducibility of polynomials that take a prime power value

A. I. Bonciocat; N. C. Bonciocat; Alexandru Zaharescu

On the irreducibility of polynomials that take a prime power value

A. I. Bonciocat, N. C. Bonciocat, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We provide several irreducibility criteria for polynomials with integer coefficients that take a prime power value and either have one large coefficient, or have all the coefficients of modulus 1. We also obtain upper bounds for the total number of irreducible factors of such polynomials, by studying their higher derivatives.

Original language	English (US)
Pages (from-to)	41-54
Number of pages	14
Journal	Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
Volume	54
Issue number	1
State	Published - 2011

Keywords

Estimates for polynomial roots
Irreducible polynomials
Prime power

ASJC Scopus subject areas

Mathematics(all)

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title = "On the irreducibility of polynomials that take a prime power value",

abstract = "We provide several irreducibility criteria for polynomials with integer coefficients that take a prime power value and either have one large coefficient, or have all the coefficients of modulus 1. We also obtain upper bounds for the total number of irreducible factors of such polynomials, by studying their higher derivatives.",

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AU - Bonciocat, N. C.

AU - Zaharescu, Alexandru

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Y1 - 2011

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KW - Estimates for polynomial roots

KW - Irreducible polynomials

KW - Prime power

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On the irreducibility of polynomials that take a prime power value

Abstract

Keywords

ASJC Scopus subject areas

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