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Eine Klasse Vollständig Gleichverteilter Folgen

Part of the Lecture Notes in Mathematics book series (LNM,volume 1262)

Abstract

It is shown that for a large class of sequences (an) the sequences (ya n) are uniformly distributed for almost all y>1. The discrepancy is asymptotically estimated.

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Literatur

  1. KNUTH D.E., The Art of Computer Programming, Vol II, Addison-Wesley, Reading, Mass., 2nd ed., 1981.

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  2. KUIPERS L. and NIEDERREITER H., Uniform distribution of sequences, John Wiley and sons, New York, 1974.

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  3. NIEDERREITER H. and TICHY R.F., Solution of a problem of Knuth on complete uniform distribution of sequences, Mathematika, 32 (1985), 26–32.

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  4. TICHY R.F., Ein metrischer Satz über vollständig gleichverteilte Folgen, Acta Arithmetica, im Druck.

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© 1987 Springer-Verlag

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Goldstern, M. (1987). Eine Klasse Vollständig Gleichverteilter Folgen. In: Hlawka, E. (eds) Zahlentheoretische Analysis II. Lecture Notes in Mathematics, vol 1262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078594

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  • DOI: https://doi.org/10.1007/BFb0078594

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18015-9

  • Online ISBN: 978-3-540-47256-8

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