Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 9, Issue 2


Published
on

February 6, 2014


Pages

1-6


DOI

Article

On the Sequence Αn!


Authors

Alena Aleksenko Affiliation:
Department of Mathematics Aveiro University Aveiro 3810 PORTUGAL


Abstract

We prove that there exists α ∈ R such that for any N the discrep- ancy D N of the sequence {αn!}, 1nN satisfies D N = O(log N).


Keywords

Fractional part αn, low discrepancy sequence, Fibonacci number.


Citation

Aleksenko, A. (2014). On the sequence αn! Uniform Distribution Theory, 9(2), 1–6.

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