TY - JOUR
T1 - Irreducibility results for compositions of polynomials with integer coefficients
AU - Bonciocat, Anca Iuliana
AU - Zaharescu, Alexandru
PY - 2006/9
Y1 - 2006/9
N2 - We obtain explicit upper bounds for the number of irreducible factors for a class of polynomials of the form f ο 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.
AB - We obtain explicit upper bounds for the number of irreducible factors for a class of polynomials of the form f ο 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.
KW - Composition of polynomials
KW - Irreducibility results
UR - http://www.scopus.com/inward/record.url?scp=33748524894&partnerID=8YFLogxK
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U2 - 10.1007/s00605-005-0400-6
DO - 10.1007/s00605-005-0400-6
M3 - Article
AN - SCOPUS:33748524894
SN - 0026-9255
VL - 149
SP - 31
EP - 41
JO - Monatshefte fur Mathematik
JF - Monatshefte fur Mathematik
IS - 1
ER -