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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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