Badly approximable \(p\)-adic integers (Q1917746)
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scientific article; zbMATH DE number 903345
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Badly approximable \(p\)-adic integers |
scientific article; zbMATH DE number 903345 |
Statements
Badly approximable \(p\)-adic integers (English)
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10 November 1996
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The main result of this paper is a construction of a \([0,1]\)-valued dimension function on the \(p\)-adic integers analogous to Hausdorff dimension in \(\mathbb{R}\). The author shows that with respect to this function the dimension of the set of badly approximable \(p\)-adic integers is 1.
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diophantine approximation
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dimension function
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Hausdorff dimension
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badly approximable \(p\)-adic integers
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0.9116012
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0.90382904
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0.9011949
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0.8990414
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0.8989929
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0.89839464
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0.8983071
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0.8973229
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