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On digit expansions with respect to second order linear recurring sequences

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Number-Theoretic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1452))

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Abstract

A real number β is constructed, such that the sequence βξ n for is uniformly distributed. The Hausdorff-dimension of some sets defined by decimal properties with respect to the ξ-expansion is computed.

An earlier version of this paper was part of my thesis written on the advice of R. Tichy.

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References

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Authors and Affiliations

  1. Institut für Analysis, Technische Mathematik und Versicherungsmathematik, Technische Universität Wien, Wiedner Hauptstraße 8-10, 1040, Wien, Austria

    Peter J. Grabner

Authors
  1. Peter J. Grabner
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Edmund Hlawka Robert F. Tichy

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© 1990 Springer-Verlag

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Grabner, P.J. (1990). On digit expansions with respect to second order linear recurring sequences. In: Hlawka, E., Tichy, R.F. (eds) Number-Theoretic Analysis. Lecture Notes in Mathematics, vol 1452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096981

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  • DOI: https://doi.org/10.1007/BFb0096981

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53408-2

  • Online ISBN: 978-3-540-46864-6

  • eBook Packages: Springer Book Archive

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