Linear problems in combinatorial number theory

DOI10.1007/BF01895954zbMath0303.10058OpenAlexW2071116836MaRDI QIDQ4059030

János Komlós, Endre Szemerédi, Miklós Sulyok

Publication date: 1975

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01895954

Mathematics Subject Classification ID

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

Related Items (20)

On some metric and combinatorial geometric problems ⋮ Sum-Free Sets of Integers ⋮ Finding solutions with distinct variables to systems of linear equations over \(\mathbb{F}_p\) ⋮ Four‐term progression free sets with three‐term progressions in all large subsets ⋮ Some applications of Ramsey's theorem to additive number theory ⋮ On the multiplicative Chung-Diaconis-Graham process ⋮ Unnamed Item ⋮ Difference sets and positive exponential sums. I: General properties ⋮ Maximal subsets free of arithmetic progressions in arbitrary sets ⋮ Additive and multiplicative Sidon sets ⋮ The number of Sidon sets and the maximum size of Sidon sets contained in a sparse random set of integers ⋮ Finding large co-Sidon subsets in sets with a given additive energy ⋮ A note on distinct distances ⋮ Non-averaging subsets and non-vanishing transversals ⋮ On non-averaging sets of integers ⋮ On distinct distances among points in general position and other related problems ⋮ Distinct Volume Subsets ⋮ Sidon sets in groups and induced subgraphs of Cayley graphs ⋮ An application of graph theory to additive number theory ⋮ Construction techniques for some thin sets in duals of compact abelian groups

Cites Work

• On sets of integers containing no four elements in arithmetic progression
• On Certain Sets of Integers (II)
• On Sets of Integers Which Contain No Three Terms in Arithmetical Progression
• Unnamed Item

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