Yuan, Jin et Budarina, Natalia, On the number of polynomials with small discriminants in the Euclidean and p-adic metrics, Acta mathematica Sinica. English series (Print) , 28(3), 2012, pp. 469-476
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.