@article{1ab9f1ec701d429d94715b1334f5123a,
title = "Rational points of rigid-analytic sets: a Pila-Wilkie type theorem",
abstract = "We establish a rigid-analytic analog of the Pila-Wilkie counting theorem, giving sub-polynomial upper bounds for the number of rational points in the transcendental part of a Qp-analytic set, and the number of rational functions in a Fq((t))-analytic set. For Z[[t]]-analytic sets we prove such bounds uniformly for the specialization to every non-archimedean local field.",
author = "Gal Binyamini and Fumiharu Kato",
note = "We would like to thank Raf Clckers for several corrections and many important comments on the first version of this manuscript. The first author was supported by the ISRAEL SCIENCE FOUNDATION (grant No. 1167/17). This project has received funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (grant agreement No 802107). The second author was supported by JSPS KAKENHI Grant Number 17H02832.",
year = "2022",
month = mar,
day = "20",
doi = "https://doi.org/10.48550/arXiv.2203.10530",
language = "الإنجليزيّة",
}