A discrete analogue for Minkowski's second theorem on successive minima (Q2882938)
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scientific article; zbMATH DE number 6033010
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discrete analogue for Minkowski's second theorem on successive minima |
scientific article; zbMATH DE number 6033010 |
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11 May 2012
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lattice points
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Minkowski theorem
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successive minima
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A discrete analogue for Minkowski's second theorem on successive minima (English)
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The main result of the paper is an inequality relating the lattice point enumerator of a \(3\)-dimensional, \(0\)-symmetric convex body and its successive minima. This is an example of generalization of Minkowski's theorems on successive minima, where the volume is replaced by the lattice point enumerator.
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