TY - JOUR
T1 - On the number of factors of convolutions of polynomials with integer coefficients
AU - Bonciocat, A. I.
AU - Bonciocat, N. C.
AU - Zaharescu, A.
PY - 2008
Y1 - 2008
N2 - We obtain some irreducibility criteria for a class of polynomials of the form hdeg f · f(g/h), where f, g, h are polynomials with integer coefficients, g and h relatively prime, in terms of the prime factorization of the leading coefficient of hdeg f · f(g/h), the degrees of f, g, h, and the size of their coefficients.
AB - We obtain some irreducibility criteria for a class of polynomials of the form hdeg f · f(g/h), where f, g, h are polynomials with integer coefficients, g and h relatively prime, in terms of the prime factorization of the leading coefficient of hdeg f · f(g/h), the degrees of f, g, h, and the size of their coefficients.
KW - Convolution of polynomials
KW - Resultants
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U2 - 10.1216/RMJ-2008-38-2-417
DO - 10.1216/RMJ-2008-38-2-417
M3 - Article
AN - SCOPUS:43049118981
SN - 0035-7596
VL - 38
SP - 417
EP - 431
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
IS - 2
ER -