On badly approximable complex numbers

Rune Esdahl-Schou, S. Kristensen

    Research output: Working paper/Preprint Working paperResearch


    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


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