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Preprint Number 1414

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1414. Gareth O. Jones and Margaret E. M. Thomas
Effective Pila--Wilkie bounds for unrestricted Pfaffian surfaces
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Submission date: 23 April 2018

Abstract:

We prove effective Pila--Wilkie estimates for the number of rational points of bounded height lying on certain surfaces defined by Pfaffian functions. The class of surfaces to which our result applies includes, for instance, graphs of unrestricted Pfaffian functions defined on the plane.

Mathematics Subject Classification: 03C64 (Primary) 14G05, 14Q20 (Secondary)

Keywords and phrases:

Full text arXiv 1804.08232: pdf, ps.


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