Ghi chú Định_lý_Szemerédi

  1. ↑ Erdős, Paul; Turán, Paul (1936), “On some sequences of integers” (PDF), Journal of the London Mathematical Society, 11 (4): 261–264, doi:10.1112/jlms/s1-11.4.261.
  2. ↑ Roth, Klaus Friedrich (1953), “On certain sets of integers, I”, Journal of the London Mathematical Society, 28: 104–109, doi:10.1112/jlms/s1-28.1.104, Zbl 0050.04002, MR0051853.
  3. ↑ Szemerédi, Endre (1969), “On sets of integers containing no four elements in arithmetic progression”, Acta Math. Acad. Sci. Hung., 20: 89–104, doi:10.1007/BF01894569, Zbl 0175.04301, MR0245555
  4. ↑ Roth, Klaus Friedrich (1972), “Irregularities of sequences relative to arithmetic progressions, IV”, Periodica Math. Hungar., 2: 301–326, doi:10.1007/BF02018670, MR0369311.
  5. ↑ Szemerédi, Endre (1975), “On sets of integers containing no k elements in arithmetic progression” (PDF), Acta Arithmetica, 27: 199–245, Zbl 0303.10056, MR0369312
  6. ↑ Fürstenberg, Hillel (1977), “Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions”, J. D’Analyse Math., 31: 204–256, doi:10.1007/BF02813304, MR0498471.
  7. 1 2 Gowers, Timothy (2001), “A new proof of Szemerédi's theorem”, Geom. Funct. Anal., 11 (3): 465–588, doi:10.1007/s00039-001-0332-9, MR1844079.
  8. ↑ Behrend, Felix A. (1946), “On the sets of integers which contain no three in arithmetic progression”, Proceedings of the National Academy of Sciences, 23 (12): 331–332, doi:10.1073/pnas.32.12.331, Zbl 0060.10302.
  9. ↑ Rankin, Robert A. (1962), “Sets of integers containing not more than a given number of terms in arithmetical progression”, Proc. Roy. Soc. Edinburgh Sect. A, 65: 332–344, Zbl 0104.03705, MR0142526.
  10. ↑ Bourgain, Jean (1999), “On triples in arithmetic progression”, Geom. Func. Anal., 9 (5): 968–984, doi:10.1007/s000390050105, MR1726234.

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