Jones, G. O. and Miller, D. J. and Thomas, M. E. M. (2011) Mildness and the density of rational points on certain transcendental curves. Notre Dame Journal of Formal Logic, 52 (1). pp. 67-74.
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Official URL: http://projecteuclid.org/euclid.ndjfl/1292249611
Abstract
We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minimal structures admit definable parameterizations by mild maps. We then use this parameterization to prove a result on the density of rational points on curves defined by restricted Pfaffian functions.
| Item Type: | Article |
|---|---|
| Additional Information: | This is the preprint version. It differs slightly from the published version. |
| Uncontrolled Keywords: | Pfaffian functions; parameterization; rational points |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory |
| Depositing User: | Gareth Jones |
| Date Deposited: | 04 Jul 2011 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1642 |
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- Mildness and the density of rational points on certain transcendental curves. (deposited 04 Jul 2011) [Currently Displayed]
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