A generalization of Meshulam's theorem on subsets of finite abelian groups with no 3-term arithmetic progression. II

DOI10.1016/j.ejc.2010.09.008zbMath1223.11017OpenAlexW2110985552MaRDI QIDQ616382

Craig V. Spencer, Xiaomei Zhao, Yu-Ru Liu

Publication date: 7 January 2011

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2010.09.008

zbMATH Keywords

arithmetic progressionfinite abelian group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other character sums and Gauss sums (11T24) Arithmetic progressions (11B25)

Related Items (1)

On Systems of Complexity One in the Primes

Cites Work

• Roth's theorem on progressions revisited
• A generalization of Meshulam's theorem on subsets of finite abelian groups with no 3-term arithmetic progression
• On subsets of abelian groups with no 3-term arithmetic progression
• A density version of a geometric Ramsey theorem
• A new proof of Szemerédi's theorem for arithmetic progressions of length four
• On subsets of finite Abelian groups with no 3-term arithmetic progressions
• Integer sets containing no arithmetic progressions
• Integer Sets Containing No Arithmetic Progressions
• On Certain Sets of Integers
• On Certain Sets of Integers (II)
• A new proof of Szemerédi's theorem

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