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Solution of a problem of Knuth on complete uniform distribution of sequences
Author(s) -
Niederreiter Harald,
Tichy Robert F.
Publication year - 1985
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300010810
Subject(s) - mathematics , distribution (mathematics) , combinatorics , mathematical analysis
It is proved that the sequence( x a n)n = 1 ∞is completely uniformly distributed modulo 1 for almost all real numbers x with |x|> 1, if (a n ) is an arbitrary sequence of distinct positive integers.