Irreducibility Results for Compositions of Polynomials with Integer Coefficients

• Autores: Anca Iuliana Bonciocat, Alexandru Zaharescu
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 149, Nº 1, 2006, págs. 31-41
• Idioma: inglés
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• Resumen

  • We obtain explicit upper bounds for the number of irreducible factors for a class of polynomials of the form f???g, where f,g are polynomials with integer coefficients, in terms of the prime factorization of the leading coefficients of f and g, the degrees of f and g, and the size of coefficients of f. In particular, some irreducibility results are given for this class of compositions of polynomials.