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 |
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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: |
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