Root Separation for Reducible Monic Quartics
Andrej Dujella
University of Zagreb, CroatiaTomislav Pejkovič
University of Zagreb, Croatia
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Abstract
We study root separation for reducible monic integer polynomials of degree four. If is the height and the minimal distance between 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. 63–72
DOI 10.4171/RSMUP/126-4