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2004 On the Height of the Sylvester Resultant
Carlos D'Andrea, Kevin G. Hare
Experiment. Math. 13(3): 331-341 (2004).

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.

Citation

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Carlos D'Andrea. Kevin G. Hare. "On the Height of the Sylvester Resultant." Experiment. Math. 13 (3) 331 - 341, 2004.

Information

Published: 2004
First available in Project Euclid: 22 December 2004

zbMATH: 1116.11046
MathSciNet: MR2103331

Subjects:
Primary: 11G50
Secondary: 12Y05

Keywords: heights , quadratic and cubic polynomials , Sylvester resultants

Rights: Copyright © 2004 A K Peters, Ltd.

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Vol.13 • No. 3 • 2004
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