Aarhus University Seal / Aarhus Universitets segl

On badly approximable complex numbers

Research output: Working paperResearch

  • 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
Publication statusPublished - 2009

See relations at Aarhus University Citationformats

ID: 32851479