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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Bernik, 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

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  1. 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
  2. Sprindžuk V., Metric theorem of Diophantine approximation, 1979. Wiley, New York (translated from Russian by R.A.Silverman). MR0548467
  3. Kovalevskaya E., Many-dimensional extremal surface of Sprindžuk and Hausdorff dimension, Vesci Acad. Nauk Belarus. 1996, N 3, pp.H4- 116 (Russian). (1996) 
  4. Bernik V., Melnichuk Yu., Diophantine approximation and Hausdorff dimension, 1988. Minsk (Russian). MR0958341
  5. Cassels J. W. S., Introduction to Diophantine approximation, 1957. Cambridge. Zbl0098.26301MR0087708
  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 (1936) 

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