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Distinct distances and arithmetic progressions

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Publication:1728092
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DOI10.1016/j.dam.2017.10.032zbMath1405.05184OpenAlexW2768764062MaRDI QIDQ1728092

Adrian Dumitrescu

Publication date: 21 February 2019

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2017.10.032


zbMATH Keywords

arithmetic progressionRamsey theorySzemerédi's theorem


Mathematics Subject Classification ID

Ramsey theory (05D10)




Cites Work

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  • A quantitative ergodic theory proof of Szemerédi's theorem
  • On distinct distances and \(\lambda \)-free point sets
  • On distinct distances among points in general position and other related problems
  • Arithmetical progressions and the number of sums
  • Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
  • Euclidean Ramsey theorems. I
  • Density theorems and extremal hypergraph problems
  • The ergodic theoretical proof of Szemerédi’s theorem
  • Szemerédi's theorem and problems on arithmetic progressions
  • On sets of integers containing k elements in arithmetic progression
  • Yet another proof of Szemeredi's theorem
  • On Sets of Distances of n Points
  • A new proof of Szemerédi's theorem
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