We study root separation for reducible monic integer polynomials of degree four.If is the height and the minimal distancebetween two distinct roots of a separable integer polynomial ,and , we show that ,where limsup is taken over all reducible monic integer polynomials of degree .
Cite this article
Andrej Dujella, Tomislav Pejkovič, Root Separation for Reducible Monic Quartics. Rend. Sem. Mat. Univ. Padova 126 (2011), pp. 63–72DOI 10.4171/RSMUP/126-4