The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors
Acta Arithmetica (1992)
- Volume: 61, Issue: 1, page 69-81
- ISSN: 0065-1036
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topBryan P. Rynne. "The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors." Acta Arithmetica 61.1 (1992): 69-81. <http://eudml.org/doc/206452>.
@article{BryanP1992,
author = {Bryan P. Rynne},
journal = {Acta Arithmetica},
keywords = {diophantine approximation by restricted sequences of integer vectors; Hausdorff dimension},
language = {eng},
number = {1},
pages = {69-81},
title = {The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors},
url = {http://eudml.org/doc/206452},
volume = {61},
year = {1992},
}
TY - JOUR
AU - Bryan P. Rynne
TI - The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors
JO - Acta Arithmetica
PY - 1992
VL - 61
IS - 1
SP - 69
EP - 81
LA - eng
KW - diophantine approximation by restricted sequences of integer vectors; Hausdorff dimension
UR - http://eudml.org/doc/206452
ER -
References
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- [6] M. M. Dodson and J. A. G. Vickers, Exceptional sets in Kolmogorov-Arnol'd-Moser theory, J. Phys. A 19 (1986), 349-374. Zbl0605.34041
- [7] H. G. Eggleston, Sets of fractional dimensions which occur in some problems of number theory, Proc. London Math. Soc. 54 (1951), 42-93. Zbl0045.16603
- [8] V. Jarník, Diophantische Approximationen und Hausdorffsches Mass, Mat. Sb. 36 (1929), 371-382. Zbl55.0719.01
- [9] V. Jarník, Über die simultanen diophantischen Approximationen, Math. Z. 33 (1931), 505-543. Zbl57.1370.01
- [10] V. G. Sprindžuk, Metric Theory of Diophantine Approximations (translated by R. A. Silverman), John Wiley, 1979. Zbl0287.10043
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