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On the characteristic word of the inhomogeneous Beatty sequence

Published online by Cambridge University Press:  17 April 2009

Takao Komatsu
Takao Komatsu
Affiliation:
Centre for Number Theory ResearchMacquarie UniversityNew South Wales 2109Australia e-mail: komatsu@mpce.mq.edu.au
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Abstract

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We detail the sequence (fn) where fn = [(n + 1)θ + ø] − [nθ + ø] − [θ]. This description of the inhomogeneous Beatty sequence generalises earlier work dealing with special cases in which ø is restricted to rational values.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 2 , April 1995 , pp. 337 - 351
Copyright
Copyright © Australian Mathematical Society 1995

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