On the Height of the Sylvester Resultant
Carlos D'Andrea and Kevin G. Hare
Source: Experiment. Math. Volume 13, Issue 3 (2004), 331-341.
Abstract
Let $n$ be a positive integer. We consider the Sylvester resultant of $f$ and $g,$ where $f$ is a generic polynomial of degree 2 or 3 and $g$ is a generic polynomial of degree $n.$ If $f$ is a quadratic polynomial, we find the resultant's height. If $f$ is a cubic polynomial, we find tight asymptotics for the resultant's height.
Primary Subjects: 11G50
Secondary Subjects: 12Y05
Keywords: Sylvester resultants; heights; quadratic and cubic polynomials
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Experimental Mathematics
