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Upper and lower class results for subsequences of the Champernowne number

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Ergodic Theory and Related Topics III

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1514))

Abstract

We determine upper and lower bounds for partial sums of subsequences of the dyadic Champernowne sequence, which are obtained from completely deterministic selection functions. This complements results by Shiokawa and Uchiyama.

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Author information

Authors and Affiliations

  1. Institut für Mathematische Stochastik, University of Göttingen, Lotzestr. 13, W-3400, Göttingen, Germany

    M. Denker & K. F. Krämer

Authors
  1. M. Denker
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  2. K. F. Krämer
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Editor information

Ulrich Krengel Karin Richter Volker Warstat

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© 1992 Springer-Verlag

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Denker, M., Krämer, K.F. (1992). Upper and lower class results for subsequences of the Champernowne number. In: Krengel, U., Richter, K., Warstat, V. (eds) Ergodic Theory and Related Topics III. Lecture Notes in Mathematics, vol 1514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097529

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  • DOI: https://doi.org/10.1007/BFb0097529

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55444-8

  • Online ISBN: 978-3-540-47076-2

  • eBook Packages: Springer Book Archive

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