Estimates of the number of relative minima of lattices (Q650416)
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scientific article; zbMATH DE number 5980769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates of the number of relative minima of lattices |
scientific article; zbMATH DE number 5980769 |
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Estimates of the number of relative minima of lattices (English)
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25 November 2011
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The author proves an estimate for the number of relative minima of an arbitrary lattice (possible noninteger and incomplete) contained in a given cube. This estimate is precise up to a constant depending on the dimension of the space and on the rank of the lattice.
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\(s\)-dimensional lattice
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minimum of a lattice
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rank of a lattice
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continued fraction
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convergence
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Klein polyhedron
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