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A Note on Well-Distributed Sequences
Published online by Cambridge University Press: 20 November 2018
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A sequence is said to be well distributed (mod 1) (3, 4, 5) if the limit
(1.1)
exists, uniformly in p ≥ 0, for all intervals I in [0, 1], with length |I|, characteristic function where (x) is the fractional part of x. If (1.1) is true for p = 0 and all I in [0, 1] we say that is uniformly distributed (mod 1).
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- Copyright © Canadian Mathematical Society 1965
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