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

Harald Niederreiter; Robert Tichy

doi:10.1112/S0025579300010810

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

Harald Niederreiter, Robert Tichy

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

It is proved that the sequence (xa)∝n=1is completely uniformly distributed modulo 1 for almost all real numbers x with| x|> 1, if (an) is an arbitrary sequence of distinct positive integers. © 1985, University College London. All rights reserved.

Originalsprache	englisch
Seiten (von - bis)	26-32
Fachzeitschrift	Mathematika
Jahrgang	32
Ausgabenummer	1
DOIs	https://doi.org/10.1112/S0025579300010810
Publikationsstatus	Veröffentlicht - 1985

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abstract = "It is proved that the sequence (xa)∝n=1is completely uniformly distributed modulo 1 for almost all real numbers x with| x|> 1, if (an) is an arbitrary sequence of distinct positive integers. {\textcopyright} 1985, University College London. All rights reserved.",

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

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