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Homogeneously distributed sequences and Poincaré sequences of integers of sublacunary growth

✍ Scribed by Michael Boshernitzan

Publisher: Springer Vienna
Year: 1983
Tongue: English
Weight: 397 KB
Volume: 96
Category: Article
ISSN: 0026-9255
DOI: 10.1007/bf01605486

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## Abstract For a recursively defined sequence __u__ : = (__u~n~__) of integers, we describe the subgroup __t~u~__ (𝕋) of the elements __x__ of the circle group 𝕋 satisfying lim~__n__~ __u~n~x__ = 0. More attention is dedicated to the sequences satisfying a secondorder recurrence relation. In this