On a generalisation of Roth's theorem for arithmetic progressions and applications to sum-free subsets

DOI10.1017/S0305004113000327zbMath1307.11017arXiv1210.1729OpenAlexW2964109908MaRDI QIDQ2845628

Jehanne Dousse

Publication date: 2 September 2013

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1729

zbMATH Keywords

Roth's theoremGowers normsum-free subsetdensity increment argument

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Arithmetic progressions (11B25) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (3)

On Systems of Complexity One in the Primes ⋮ The Erdős–Moser Sum-free Set Problem ⋮ Sum-avoiding sets in groups

Cites Work

• Linear equations in primes
• On triples in arithmetic progression
• On a question of Erdős and Moser
• Sum-avoiding subsets
• Integer sets containing no arithmetic progressions
• Integer Sets Containing No Arithmetic Progressions
• On a Combinatorial Problem in Number Theory
• On Certain Sets of Integers
• A new proof of Szemerédi's theorem

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