Best diophantine approximations of an element of the torus \({\mathbb T}^d\) (Q2717598)
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scientific article; zbMATH DE number 1605196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Best diophantine approximations of an element of the torus \({\mathbb T}^d\) |
scientific article; zbMATH DE number 1605196 |
Statements
17 June 2001
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simultaneous Diophantine approximation
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torus
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metric results
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Best diophantine approximations of an element of the torus \({\mathbb T}^d\) (English)
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The author studies simultaneous Diophantine approximation on the \(d\)-dimensional torus. He proves growth conditions for the corresponding approximation quantities. Furthermore metric results are established which extend the classical result of Khintchine. The proofs depend on various interesting geometric ideas.
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