| Title:
|
Simultaneous inhomogeneous Diophantine approximation of the values of integral polynomials with respect to Archimedean and non-Archimedean valuations (English) |
| Author:
|
Kovalevskaya, Ella |
| Author:
|
Bernik, Vasily |
| Language:
|
English |
| Journal:
|
Acta Mathematica Universitatis Ostraviensis |
| ISSN:
|
1214-8148 |
| Volume:
|
14 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
37-42 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove an analogue of the convergence part of Khintchine’s theorem for the simultaneous inhomogeneous Diophantine approximation on the Veronese curve $(x,x^2,\ldots ,x^n)$ with respect to the different valuations. It is an extension of the author’s earlier results. (English) |
| Keyword:
|
inhomogeneous Diophantine approximation |
| Keyword:
|
Khintchine type theorem |
| Keyword:
|
metric theory of Diophantine approximation |
| Keyword:
|
p-adic numbers |
| MSC:
|
11J61 |
| MSC:
|
11J83 |
| MSC:
|
11K60 |
| idZBL:
|
Zbl 1142.11049 |
| idMR:
|
MR2298911 |
| . |
| Date available:
|
2009-12-29T09:19:37Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137481 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
