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Irreducibility criteria for compositions of polynomials with integer coefficients

Authors :
Nicolae Ciprian Bonciocat
Mihai Cipu
Maurice Mignotte
Yann Bugeaud
Institut de Recherche Mathématique Avancée (IRMA)
Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)
'Simion Stoilow' Institute of Mathematics (IMAR)
Romanian Academy of Sciences
Source :
Monatshefte für Mathematik, Monatshefte für Mathematik, Springer Verlag, 2017, 182 (3), pp.499-512. ⟨10.1007/s00605-016-0890-4⟩
Publication Year :
2017
Publisher :
HAL CCSD, 2017.

Abstract

We provide irreducibility criteria for some classes of compositions of polynomials with integer coefficients of the form $$F\circ G$$ , with F being a quadratic irreducible polynomial and G a polynomial of arbitrary degree.

Details

Language :
English
ISSN :
00269255 and 14365081
Database :
OpenAIRE
Journal :
Monatshefte für Mathematik, Monatshefte für Mathematik, Springer Verlag, 2017, 182 (3), pp.499-512. ⟨10.1007/s00605-016-0890-4⟩
Accession number :
edsair.doi.dedup.....4f65ba80ff432723646332bedbadba87
Full Text :
https://doi.org/10.1007/s00605-016-0890-4⟩