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
KNUTH D.E., The Art of Computer Programming, Vol II, Addison-Wesley, Reading, Mass., 2nd ed., 1981.
KUIPERS L. and NIEDERREITER H., Uniform distribution of sequences, John Wiley and sons, New York, 1974.
NIEDERREITER H. and TICHY R.F., Solution of a problem of Knuth on complete uniform distribution of sequences, Mathematika, 32 (1985), 26–32.
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
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