On the height of the Sylvester Resultant
Number Theory
2007-05-23 v2 Commutative Algebra
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.
Cite
@article{arxiv.math/0310276,
title = {On the height of the Sylvester Resultant},
author = {Carlos D'Andrea and Kevin G. Hare},
journal= {arXiv preprint arXiv:math/0310276},
year = {2007}
}
Comments
20 pages, revised version with more general results. Accepted for publication in Experimental Mathematics