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arXiv · 0912.1659

On a property of 2-dimensional integral Euclidean lattices

Eiichi Bannai·Tsuyoshi Miezaki
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Abstract

Let $L$ be any integral lattice in the 2-dimensional Euclidean space. Generalizing the earlier works of Hiroshi Maehara and others, we prove that for every integer $n>0$, there is a circle in the plane $\mathbb{R}^{2}$ that passes through exactly $n$ points of $L$.

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Eiichi Bannai, Tsuyoshi Miezaki. 2011-03-01. On a property of 2-dimensional integral Euclidean lattices. https://arxiv.org/abs/0912.1659

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