On badly approximable complex numbers

Rune Esdahl-Schou; S. Kristensen

On badly approximable complex numbers

Publikation: Working paper/Preprint › Working paper › Forskning

Abstract

We show that the set of complex numbers which are badly approximable by ratios of elements of , where 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.

Originalsprog	Engelsk
Udgivelsessted	Århus
Udgiver	Department of Mathematical Sciences, Aarhus University
Antal sider	8
Status	Udgivet - 2009

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On badly approximable complex numbers

Abstract

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