On the Number of Polynomials with Small Discriminants in the Euclidean and p-adic Metrics
On the Number of Polynomials with Small Discriminants in the Euclidean and p-adic Metrics
摘要
In this article it is proved that there exist a large number of polynomials which have small discriminant in terms of the Euclidean and p-adic metrics simultaneously. The measure of the set of points which satisfy certain polynomial and derivative conditions is also determined.
In this article it is proved that there exist a large number of polynomials which have small discriminant in terms of the Euclidean and p-adic metrics simultaneously. The measure of the set of points which satisfy certain polynomial and derivative conditions is also determined.
基金
supported by the Science Foundation Ireland Programme (Grant No. RFP/MTH1512)
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