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arXiv · 1804.08232

Effective Pila--Wilkie bounds for unrestricted Pfaffian surfaces

Gareth O. Jones·Margaret E. M. Thomas
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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.

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BibTeXRIS

Gareth O. Jones, Margaret E. M. Thomas. 2018-04-23. Effective Pila--Wilkie bounds for unrestricted Pfaffian surfaces. https://arxiv.org/abs/1804.08232

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