A different approach to the Fraenkel Conjecture for low $n$ values

zbMath1461.11046arXiv1709.08190MaRDI QIDQ5234090

Ofir Schnabel, R. Jamie Simpson

Publication date: 25 September 2019

Full work available at URL: https://arxiv.org/abs/1709.08190

zbMATH Keywords

Beatty sequencesFraenkel conjecture

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Special sequences and polynomials (11B83)

Related Items (1)

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Cites Work

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• Covering the positive integers by disjoint sets of the form \(\{[n\alpha+\beta: n=1,2,\dots \}\)]
• Partitioning the positive integers to seven Beatty sequences
• Fraenkel's conjecture for six sequences
• On complementary triples of Sturmian bisequences
• Complementing and exactly covering sequences
• Balanced sequences and optimal routing
• The Number of Intersection Points Made by the Diagonals of a Regular Polygon
• Disjoint covering systems of rational Beatty sequences
• Disjoint covering systems of rational Beatty sequences

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