Naslov
Root separation for reducible monic quartics

Autori
Dujella, Andrej ; Pejković, Tomislav

Izvornik
Rendiconti del Seminario matematico dell'Universita di Padova (0041-8994) 126 (2011); 63-72

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
integer polynomials ; root separation

Sažetak
We study root separation for reducible monic integer polynomials of degree four. If H(P) is the height and sep(P) the minimal distance between two distinct roots of a separable integer polynomial P(x), and sep(P) = H(P)^(-e(P)), we show that lim sup e(P) = 2, where limsup is taken over all reducible monic integer polynomials P(x) of degree 4.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA