ArticleOriginal scientific text

Title

The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors

Authors 1

Affiliations

  1. Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, Scotland

Bibliography

  1. A. Baker and W. M. Schmidt, Diophantine approximation and Hausdorff dimension, Proc. London Math. Soc. 21 (1970), 1-11.
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  4. I. Borosh and A. S. Fraenkel, A generalization of Jarník's theorem on Diophantine approximations, Indag. Math. 34 (1972), 193-201.
  5. J. D. Bovey and M. M. Dodson, The Hausdorff dimension of systems of linear forms, Acta Arith. 45 (1986), 337-358.
  6. M. M. Dodson and J. A. G. Vickers, Exceptional sets in Kolmogorov-Arnol'd-Moser theory, J. Phys. A 19 (1986), 349-374.
  7. H. G. Eggleston, Sets of fractional dimensions which occur in some problems of number theory, Proc. London Math. Soc. 54 (1951), 42-93.
  8. V. Jarník, Diophantische Approximationen und Hausdorffsches Mass, Mat. Sb. 36 (1929), 371-382.
  9. V. Jarník, Über die simultanen diophantischen Approximationen, Math. Z. 33 (1931), 505-543.
  10. V. G. Sprindžuk, Metric Theory of Diophantine Approximations (translated by R. A. Silverman), John Wiley, 1979.
Pages:
69-81
Main language of publication
English
Received
1990-12-12
Published
1992
Exact and natural sciences