Experimental Mathematics

On the Height of the Sylvester Resultant

Carlos D'Andrea and Kevin G. Hare

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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.

Article information

Source
Experiment. Math., Volume 13, Issue 3 (2004), 331-341.

Dates
First available in Project Euclid: 22 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.em/1103749841

Mathematical Reviews number (MathSciNet)
MR2103331

Zentralblatt MATH identifier
1116.11046

Subjects
Primary: 11G50: Heights [See also 14G40, 37P30]
Secondary: 12Y05: Computational aspects of field theory and polynomials

Keywords
Sylvester resultants heights quadratic and cubic polynomials

Citation

D'Andrea, Carlos; Hare, Kevin G. On the Height of the Sylvester Resultant. Experiment. Math. 13 (2004), no. 3, 331--341. https://projecteuclid.org/euclid.em/1103749841


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