Title:
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The distribution of rational points close to a smooth manifold and Hausdorff dimension (English) |
Author:
|
Bernik, V. I. |
Author:
|
Kovalevskaya, E. I. |
Language:
|
English |
Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
ISSN:
|
1211-4774 |
Volume:
|
6 |
Issue:
|
1 |
Year:
|
1998 |
Pages:
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31-35 |
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Category:
|
math |
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MSC:
|
11J13 |
MSC:
|
11J17 |
MSC:
|
11J83 |
idZBL:
|
Zbl 1024.11051 |
idMR:
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MR1822512 |
. |
Date available:
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2009-01-30T09:05:46Z |
Last updated:
|
2013-10-22 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/120537 |
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Reference:
|
[1] Baker A., Schmidt W. M.: Diophantine approximation and Hausdorff dimension.Proc. London Math. Soc. 1970. Vol. 21, part 1, pp. 1-11. Zbl 0206.05801, MR 0271033 |
Reference:
|
[2] Sprindžuk V.: Metric theorem of Diophantine approximation.1979. Wiley, New York (translated from Russian by R.A.Silverman). MR 0548467 |
Reference:
|
[3] Kovalevskaya E.: Many-dimensional extremal surface of Sprindžuk and Hausdorff dimension.Vesci Acad. Nauk Belarus. 1996, N 3, pp.H4- 116 (Russian). |
Reference:
|
[4] Bernik V., Melnichuk Yu.: Diophantine approximation and Hausdorff dimension.1988. Minsk (Russian). MR 0958341 |
Reference:
|
[5] Cassels J. W. S.: Introduction to Diophantine approximation.1957. Cambridge. Zbl 0098.26301, MR 0087708 |
Reference:
|
[6] Bernik V.: On influence of Hausdorff dimension upon the distribution of rational points close to smooth curves.1997. Collection of papers in honour in Prof. V. Sprindžuk (1936-1987). Minsk. Institute of Math. Acad. Sci. Belarus, pp.5-6 |
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