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Solution of a problem of Knuth on complete uniform distribution of sequences

Published online by Cambridge University Press:  26 February 2010

Harald Niederreiter  and
Robert F. Tichy
Harald Niederreiter
Affiliation:
Kommission für Mathematik, Österr. Akademie d. Wissenschaften, Dr. Ignaz-Seipel-Platz 2, 1010 Wien, Austria.
Robert F. Tichy
Affiliation:
Abt. f. Technische Mathematik, Technische Universität Wien, Wiedner-Hauptstraβe β-10, 1040 Wien, Austria.
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Abstract

It is proved that the sequence is completely uniformly distributed modulo 1 for almost all real numbers x with |x|> 1, if (an) is an arbitrary sequence of distinct positive integers.

Type
Research Article
Information
Mathematika , Volume 32 , Issue 1 , June 1985 , pp. 26 - 32
Copyright
Copyright © University College London 1985

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