Upper and lower bounds for the Voronoi-Minkowski constant (Q1957077)
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scientific article; zbMATH DE number 5791074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Upper and lower bounds for the Voronoi-Minkowski constant |
scientific article; zbMATH DE number 5791074 |
Statements
Upper and lower bounds for the Voronoi-Minkowski constant (English)
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24 September 2010
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The authors prove that for any \(\varepsilon>0\) \[ (s!)^{-1-\varepsilon}<C(s)<(s!)^{-1+\varepsilon}, \] for \(s\geq s_0(\varepsilon)\), where \(C(s)\) is the Voronoi-Minkowski constant of an \(s\)-dimensional lattice.
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lattice
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Voronoi-Minkowski constant
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0.87694407
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0.8733927
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0.8687173
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