On the height of the Sylvester Resultant

Details On the height of the Sylvester Resultant On the height of the Sylvester Resultant

2003-10-17

arxiv.org/abs/math/0310276v2

Experimental Mathematics, Volume 13, Number 3 2004 331-341

Mathematics

Number Theory

20 pages, revised version with more general results. Accepted for publication in Experimental Mathematics

Scientific paper

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.

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