On the Height of the Sylvester Resultant
نویسندگان
چکیده
X iv :m at h/ 03 10 27 6v 2 [ m at h. N T ] 1 3 M ay 2 00 4 ON THE HEIGHT OF THE SYLVESTER RESULTANT CARLOS D’ANDREA AND KEVIN G. HARE 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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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 13 شماره
صفحات -
تاریخ انتشار 2004