The distribution of rational points close to a smooth manifold and Hausdorff dimension
Vasilij I. Bernik; Ella I. Kovalevskaya
Acta Mathematica et Informatica Universitatis Ostraviensis (1998)
- Volume: 06, Issue: 1, page 31-35
- ISSN: 1804-1388
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topBernik, Vasilij I., and Kovalevskaya, Ella I.. "The distribution of rational points close to a smooth manifold and Hausdorff dimension." Acta Mathematica et Informatica Universitatis Ostraviensis 06.1 (1998): 31-35. <http://eudml.org/doc/23816>.
@article{Bernik1998,
author = {Bernik, Vasilij I., Kovalevskaya, Ella I.},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {rational point; Hausdorff dimension},
language = {eng},
number = {1},
pages = {31-35},
publisher = {University of Ostrava},
title = {The distribution of rational points close to a smooth manifold and Hausdorff dimension},
url = {http://eudml.org/doc/23816},
volume = {06},
year = {1998},
}
TY - JOUR
AU - Bernik, Vasilij I.
AU - Kovalevskaya, Ella I.
TI - The distribution of rational points close to a smooth manifold and Hausdorff dimension
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1998
PB - University of Ostrava
VL - 06
IS - 1
SP - 31
EP - 35
LA - eng
KW - rational point; Hausdorff dimension
UR - http://eudml.org/doc/23816
ER -
References
top- Baker A., Schmidt W. M., Diophantine approximation and Hausdorff dimension, Proc. London Math. Soc. 1970. Vol. 21, part 1, pp. 1-11. (1970) Zbl0206.05801MR0271033
- Sprindžuk V., Metric theorem of Diophantine approximation, 1979. Wiley, New York (translated from Russian by R.A.Silverman). MR0548467
- Kovalevskaya E., Many-dimensional extremal surface of Sprindžuk and Hausdorff dimension, Vesci Acad. Nauk Belarus. 1996, N 3, pp.H4- 116 (Russian). (1996)
- Bernik V., Melnichuk Yu., Diophantine approximation and Hausdorff dimension, 1988. Minsk (Russian). MR0958341
- Cassels J. W. S., Introduction to Diophantine approximation, 1957. Cambridge. Zbl0098.26301MR0087708
- 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 (1936)
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