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arxiv: math/0607699 · v1 · submitted 2006-07-27 · 🧮 math.NT · math.MG

Non-Euclidean visibility problems

classification 🧮 math.NT math.MG
keywords visibilityproblemsanalogcardinalitycirclesconsidercriterionfull
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We consider the analog of visibility problems in hyperbolic plane (represented by Poincar\'{e} half-plane model H), replacing the standard lattice $Z\times Z$ by the orbit $z=i$ under the full modular group $z$. We prove a visibility criterion and study orchard problem and the cardinality of visible points in large circles

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