|
|||||
|
|
On the number of polynomials with small discriminants in the Euclidean and <Emphasis Type="Italic">p</Emphasis>-adic metrics |
|
| Authors: | |
| Institution: | (1) Department of Mathematics, Northwest University, Xi’an, 710069, P. R. China;(2) Department of Mathematics, Logic House, Maynooth, Kildare, Republic of Ireland |
| Abstract: | 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. |
| Keywords: | Diophantine approximation discriminant polynomial inequalities |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ | |