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Gleichverteilung und Quadratwurzelschnecke

Uniform distribution and Quadratwurzelschnecke

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Abstract

A new proof of a theorem of W. Neiss is given that the rays of the Quadratwurzelschnecke are uniformly distributed mod 2 π. The exact order of the discrepancy of the sequence is determined. Multidimensional generalizations of this sequence are also considered. It is shown that the Quadratwurzelschnecke is something like a roulette.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Wien, Strudlhofgasse 4, A-1090, Wien, Österreich

    Edmund Hlawka

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  1. Edmund Hlawka
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Herrn Prof. R. M. Redheffer in Freundschaft zum 60. Geburtstag gewidmet

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Hlawka, E. Gleichverteilung und Quadratwurzelschnecke. Monatshefte für Mathematik 89, 19–44 (1980). https://doi.org/10.1007/BF01571563

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  • DOI: https://doi.org/10.1007/BF01571563

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