## Experimental Mathematics

### On the Height of the Sylvester Resultant

#### 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

https://projecteuclid.org/euclid.em/1103749841

Mathematical Reviews number (MathSciNet)
MR2103331

Zentralblatt MATH identifier
1116.11046

Subjects