Generalised Beatty sets Article Swipe
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Marc Technau
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YOU?
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· 2019
· Open Access
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· DOI: https://doi.org/10.7546/nntdm.2019.25.2.127-135
· OA: W2955399318
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.7546/nntdm.2019.25.2.127-135
· OA: W2955399318
Generalised Beatty sets, that is, sets of the form { mα 1 + nα 2 + β : m, n ∈ N}, are studied, where ξ denotes the largest integer less than or equal to ξ.Such sets are shown to be contained in a suitable ordinary Beatty set { nα + β : n ∈ N} and equal said set save for finitely many exceptions.Moreover, bounds for the largest such exception are given.
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