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On the height of the Sylvester Resultant

Carlos D'Andrea·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.

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Carlos D'Andrea, Kevin G. Hare. 2004-05-13. On the height of the Sylvester Resultant. https://arxiv.org/abs/math/0310276

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