arXiv math/06023932006-02math.GTmath.CO

For which triangles is Pick's formula almost correct?

Michael Eisermann, Christoph Lamm

备注：: 6 pages; v2 more background information; v3 update of recent developments; v4 final revision and reformatting
发表信息：: Experimental Mathematics, Vol. 18, Issue 2 (2009)
DOI：: 10.1080/10586458.2009.10128895

英文摘要：

We present an intriguing question about lattice points in triangles where Pick's formula is "almost correct". The question has its origin in knot theory, but its statement is purely combinatorial. After more than 30 years the topological question was recently solved, but the lattice point problem is still open.

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