On the Height of the Sylvester Resultant
D'Andrea, Carlos ; Hare, Kevin G.
Experiment. Math., Tome 13 (2004) no. 1, p. 331-341 / Harvested from Project Euclid
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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.
Publié le : 2004-05-14
Classification:  Sylvester resultants,  heights,  quadratic and cubic polynomials,  11G50,  12Y05 
@article{1103749841,
     author = {D'Andrea, Carlos and Hare, Kevin G.},
     title = {On the Height of the Sylvester Resultant},
     journal = {Experiment. Math.},
     volume = {13},
     number = {1},
     year = {2004},
     pages = { 331-341},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1103749841}
}

D'Andrea, Carlos; Hare, Kevin G. On the Height of the Sylvester Resultant. Experiment. Math., Tome 13 (2004) no. 1, pp.  331-341. http://gdmltest.u-ga.fr/item/1103749841/