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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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.
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
|Deposited By:||Gareth Jones|
|Deposited On:||04 July 2011|