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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
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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: | 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) |
| Related URLs: | |
| 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 |
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