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Root separation for reducible monic quartics (CROSBI ID 167304)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Dujella, Andrej ; Pejković, Tomislav
Root separation for reducible monic quartics // Rendiconti del Seminario matematico dell'Universita di Padova, 126 (2011), 63-72
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Dujella, Andrej ; Pejković, Tomislav
engleski
Root separation for reducible monic quartics
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.
integer polynomials ; root separation
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