Submission date: 22 November 2017

Abstract:

We present here the natural extension of our Pila-Wilkie type estimates on the number of rational points of the trascendent part of a compact analytic subset of F_q((1/T))^{n} to analogous subsets of K^{n}, where K is a general local field of any characteristic. That would integrate the analogous estimate provided by F. Loeser, G. Comte and R. Cluckers in characteristic 0.

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Full text arXiv 1711.08089: pdf, ps.