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

arXiv:1605.04537 · doi:10.1112/S0010437X17007333

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.