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arXiv · 2010.14046

On the Pila-Wilkie theorem

Neer Bhardwaj·Lou van den Dries
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Abstract

This expository paper gives an account of the Pila-Wilkie counting theorem and some of its extensions and generalizations. We use semialgebraic cell decomposition to simplify part of the original proof. We also include complete treatments of a result due to Pila and Bombieri and of the o-minimal Yomdin-Gromov theorem that are used in this proof. For the latter we follow Binyamini and Novikov.

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BibTeXRIS

Neer Bhardwaj, Lou van den Dries. 2020-10-27. On the Pila-Wilkie theorem. https://doi.org/10.1016/j.exmath.2022.03.001

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