Open Access
2011 Mildness and the Density of Rational Points on Certain Transcendental Curves
G. O. Jones, D. J. Miller, M. E. M. Thomas
Notre Dame J. Formal Logic 52(1): 67-74 (2011). 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.

Citation

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G. O. Jones. D. J. Miller. M. E. M. Thomas. "Mildness and the Density of Rational Points on Certain Transcendental Curves." Notre Dame J. Formal Logic 52 (1) 67 - 74, 2011. https://doi.org/10.1215/00294527-2010-037

Information

Published: 2011
First available in Project Euclid: 13 December 2010

zbMATH: 1220.03034
MathSciNet: MR2747163
Digital Object Identifier: 10.1215/00294527-2010-037

Subjects:
Primary: 03C64 , 11G99 , 11U09

Keywords: parameterization , Pfaffian functions , rational points

Rights: Copyright © 2011 University of Notre Dame

Vol.52 • No. 1 • 2011
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