2011.54: Mildness and the density of rational points on certain transcendental curves
2011.54: G. O. Jones, D. J. Miller and M. E. M. Thomas (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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DOI: 10.1215/00294527-2010-037
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 2000 > 03 Mathematical logic and foundations MSC 2000 > 11 Number theory |
| MIMS number: | 2011.54 |
| Deposited By: | Gareth Jones |
| Deposited On: | 04 July 2011 |
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