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

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Publication:1009170
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DOI10.1007/s10623-009-9268-0zbMath1222.11013OpenAlexW2055253799MaRDI QIDQ1009170

Yu-Ru Liu, Craig V. Spencer

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-009-9268-0



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

Sunflowers and testing triangle-freeness of functions ⋮ A generalization of Meshulam's theorem on subsets of finite abelian groups with no 3-term arithmetic progression. II ⋮ Roth's theorem in many variables



Cites Work

  • Unnamed Item
  • Roth's theorem on progressions revisited
  • New upper bounds for the sizes of caps in finite projective spaces
  • 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
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