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Preprint Number 1042

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1042. Gal Binyamini, Dmitry Novikov
The Pila-Wilkie theorem for subanalytic families: a complex analytic approach
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Submission date: 15 May 2016

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.

Mathematics Subject Classification: 11G99 (Primary) 03C64 11U09 (Secondary)

Keywords and phrases:

Full text arXiv 1605.04537: pdf, ps.


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