Disjoint covering systems of rational Beatty sequences

DOI10.1016/0097-3165(86)90015-4zbMath0589.10060OpenAlexW1980203985MaRDI QIDQ5903072

Alexander Felzenbaum, Marc A. Berger, Aviezri S. Fraenkel

Publication date: 1986

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(86)90015-4

zbMATH Keywords

greatest integer functiondisjoint covering systemsrational Beatty sequence

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Elementary number theory (11A99)

Related Items

Lattice parallelotopes and disjoint covering systems ⋮ New results for covering systems of residue sets ⋮ A different approach to the Fraenkel Conjecture for low $n$ values ⋮ Beatty sequences and Langford sequences ⋮ Iterated Floor Function, Algebraic Numbers, Discrete Chaos, Beatty Subsequences, Semigroups ⋮ Disjoint covering systems of rational Beatty sequences ⋮ Unnamed Item

Cites Work

• Covering the positive integers by disjoint sets of the form \(\{[n\alpha+\beta: n=1,2,\dots \}\)]
• Roots of unity and covering sets
• Complementing and exactly covering sequences
• Beatty Sequences, Continued Fractions, and Certain Shift Operators