On the height of the Sylvester Resultant
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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.
20 pages, revised version with more general results. Accepted for publication in Experimental Mathematics
20 pages, revised version with more general results. Accepted for publication in Experimental Mathematics