Geodesic
ON BADLY APPROXIMABLE COMPLEX NUMBERS
Glasgow mathematical journal, Tome 52 (2010) no. 2, pp. 349-355

Voir la notice de l'article provenant de la source Cambridge University Press

We show that the set of complex numbers which are badly approximable by ratios of elements of the ring of integers in , where D ∈ {1, 2, 3, 7, 11, 19, 43, 67, 163} has maximal Hausdorff dimension. In addition, the intersection of these sets is shown to have maximal dimension. The results remain true when the sets in question are intersected with a suitably regular fractal set.
DOI : 10.1017/S0017089510000042
Mots-clés : 11J83 
ESDAHL-SCHOU, R.; KRISTENSEN, S. ON BADLY APPROXIMABLE COMPLEX NUMBERS. Glasgow mathematical journal, Tome 52 (2010) no. 2, pp. 349-355. doi: 10.1017/S0017089510000042
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