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2011.56: The density of algebraic points on certain Pfaffian surfaces

2011.56: G. O. Jones and M. E. M. Thomas (2011) The density of algebraic points on certain Pfaffian surfaces. The Quarterly Journal of Mathematics.

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Official URL: http://qjmath.oxfordjournals.org/content/early/2011/06/01/qmath.har011.abstract

Abstract

We prove some instances of Wilkie's conjecture on the density of rational points on sets definable in the real exponential field. In particular, we prove that this conjecture is true for surfaces defined using restricted exponentiation, and that it is true for a general Pfaffian surface provided that the surface admits a certain kind of parameterization.

Item Type:Article
Additional Information:

This is a preprint version. It differs slightly from the version to be published.

Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 11 Number theory
MIMS number:2011.56
Deposited By:Gareth Jones
Deposited On:04 July 2011

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