Simon Kristensen

On badly approximable complex numbers

Research output: Working paper

  • Department of Mathematical Sciences
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.
Original languageEnglish
Place of publicationÅrhus
PublisherDepartment of Mathematical Sciences, Aarhus University
Number of pages8
StatePublished - 2009

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ID: 32851479