On the Pila-Wilkie theorem
Logic
2022-09-12 v3 Algebraic Geometry
Number Theory
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.
Cite
@article{arxiv.2010.14046,
title = {On the Pila-Wilkie theorem},
author = {Neer Bhardwaj and Lou van den Dries},
journal= {arXiv preprint arXiv:2010.14046},
year = {2022}
}
Comments
43 pages