A new proof of Szemerédi's theorem

2001/08/15 by W. T. Gowers, W.T. Gowers · 12 citations
Mathematics · #Advanced Topology and Set Theory #Analytic Number Theory Research #Combinatorics #Discrete mathematics #Limits and Structures in Graph Theory #Mathematics #Pure mathematics

paper · doi:10.1007/s00039-001-0332-9

crossref issued 2001/08/15 · crossref published 2001/08/15 · crossref published-print 2001/08/15 · openalex publication_date 2001/08/15 · crossref created 2007/09/17 · crossref deposited 2019/05/22 · openalex created_date 2025/10/10 · crossref indexed 2026/07/13 · openalex updated_date 2026/07/23

Citations

• On Some Sequences of Integers
• On Certain Sets of Integers
• Quasi-random graphs

Cited by

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• Klaus Friedrich Roth. 29 October 1925 — 10 November 2015
• Quasirandomness, Counting and Regularity for 3-Uniform Hypergraphs
• The counting lemma for regulark‐uniform hypergraphs
• On exchangeable random variables and the statistics of large graphs and hypergraphs
• A variant of the hypergraph removal lemma
• Hypergraph regularity and the multidimensional Szemerédi theorem
• The Gaussian primes contain arbitrarily shaped constellations
• The Green-Tao Theorem on arithmetic progressions in the primes: an ergodic point of view
• Van der Waerden's theorem [wikipedia]