Budarina, Natalia and Dickinson, Detta
(2012)
On the Number of Polynomials with Small Discriminants
in the Euclidean and p-adic Metrics.
Acta Mathematica Sinica, 28 (3).
pp. 469-476.
ISSN 1439-8516
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 a
nd derivative conditions is also determined
| Item Type: |
Article
|
| Keywords: |
Diophantine approximation; discriminant; polynomial inequalities; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: |
4834 |
| Identification Number: |
https://doi.org/10.1007/s10114-011-0518-5 |
| Depositing User: |
Dr. Detta Dickinson
|
| Date Deposited: |
19 Mar 2014 11:51 |
| Journal or Publication Title: |
Acta Mathematica Sinica |
| Publisher: |
Springer Verlag (Germany) |
| Refereed: |
Yes |
| Funders: |
Science Foundation Ireland Programme (Grant No. RFP/MTH1512) |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
Repository Staff Only(login required)
 |
Item control page |
Downloads per month over past year
Origin of downloads
Altmetric
Altmetric