On a property of 2-dimensional integral Euclidean lattices

Details On a property of 2-dimensional integral Euclidean lattices On a property of 2-dimensional integral Euclidean lattices

2009-12-09

arxiv.org/abs/0912.1659v3

Mathematics

Combinatorics

9 pages

Scientific paper

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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