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Answer by DavideLombardo for Rational points on an analytic curve
Note that the results of (Bombieri-)Pila-Wilkie only tell you that there are "few" rational points when you count them by looking at their height. If you ignore this aspect, very little can be said: in...
View ArticleRational points on an analytic curve
Let $\Gamma$ be a transcendental analytic curve in $\mathbb{R}^2$. I am interested in the topology of its rational points $\Gamma(\mathbb{Q}):=\Gamma\cap\mathbb{Q}^2$.We know by Pila-Wilkie that if...
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