On the minimum area of convex lattice polygons (Q1378358)
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scientific article; zbMATH DE number 1117536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the minimum area of convex lattice polygons |
scientific article; zbMATH DE number 1117536 |
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On the minimum area of convex lattice polygons (English)
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19 October 1998
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A convex lattice polygon is a convex polygon whose vertices are in \(\mathbb{Z}^2\). Let \(a(v)\) be the minimum area of a convex lattice polygon with \(v\) vertices. It is known that with some \(c>0\) \[ cv^{2.5}\leq a(v)\leq (15/784)^3 +o(v^3). \] The author improves the lower bound to \((1/1152) v^3+O (v^2)\leq a(v)\).
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lattice points
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convex lattice polygon
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