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arXiv · 1605.04537

The Pila-Wilkie theorem for subanalytic families: a complex analytic approach

Gal Binyamini·Dmitry Novikov
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Abstract

We present a complex analytic proof of the Pila-Wilkie theorem for subanalytic sets. In particular, we replace the use of $C^r$-smooth parametrizations by a variant of Weierstrass division.

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Gal Binyamini, Dmitry Novikov. 2016-05-15. The Pila-Wilkie theorem for subanalytic families: a complex analytic approach. https://doi.org/10.1112/s0010437x17007333

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