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Volumn 8, Issue 3, 1998, Pages 529-551

A new proof of Szemerédi's theorem for arithmetic progressions of length four

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EID: 0032361262     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000390050065     Document Type: Article
Times cited : (325)

References (16)
  • 1
    • 0008988785 scopus 로고
    • A statistical theorem of set addition
    • A. BALOG, E. SZEMERÉDI, A statistical theorem of set addition, Combinatorica 14 (1994), 263-268.
    • (1994) Combinatorica , vol.14 , pp. 263-268
    • Balog, A.1    Szemerédi, E.2
  • 3
    • 84960611781 scopus 로고
    • On some sequences of integers
    • P. ERDOS, P. TURÁN, On some sequences of integers, J. London Math. Soc. 11 (1936), 261-264.
    • (1936) J. London Math. Soc. , vol.11 , pp. 261-264
    • Erdos, P.1    Turán, P.2
  • 5
    • 0003228971 scopus 로고
    • Foundations of a structural theory of set addition
    • Amer. Math. Soc., Providence, R.I., USA
    • G.A. FREIMAN, Foundations of a Structural Theory of Set Addition, Translations of Mathematical Monographs 37, Amer. Math. Soc., Providence, R.I., USA, 1973.
    • (1973) Translations of Mathematical Monographs , vol.37
    • Freiman, G.A.1
  • 6
    • 51649169500 scopus 로고
    • Ergodic behaviour of diagonal measures and a theorem of Szemerédi on arithmetic progressions
    • H. FURSTENBERG, Ergodic behaviour of diagonal measures and a theorem of Szemerédi on arithmetic progressions, J. Analyse Math. 31 (1977), 204-256.
    • (1977) J. Analyse Math. , vol.31 , pp. 204-256
    • Furstenberg, H.1
  • 7
    • 0031285884 scopus 로고    scopus 로고
    • Lower bounds of tower type for Szemerédi's uniformity lemma
    • W.T. GOWERS, Lower bounds of tower type for Szemerédi's uniformity lemma, Geometric And Functional Analysis 7 (1997), 322-337.
    • (1997) Geometric And Functional Analysis , vol.7 , pp. 322-337
    • Gowers, W.T.1
  • 8
    • 0001260803 scopus 로고
    • Integer sets containing no arithmetic progressions
    • D.R. HEATH-BROWN, Integer sets containing no arithmetic progressions, J. London Math. Soc. (2) 35 (1987), 385-394.
    • (1987) J. London Math. Soc. , vol.35 , Issue.2 , pp. 385-394
    • Heath-Brown, D.R.1
  • 9
    • 0040569756 scopus 로고
    • On certain sets of integers
    • K.F. ROTH, On certain sets of integers, J. London Math. Soc. 28 (1953), 245-252.
    • (1953) J. London Math. Soc. , vol.28 , pp. 245-252
    • Roth, K.F.1
  • 10
    • 0039976929 scopus 로고
    • Irregularities of sequences relative to arithmetic progressions, IV
    • K.F. ROTH, Irregularities of sequences relative to arithmetic progressions, IV, Period. Math. Hungar. 2 (1972), 301-326.
    • (1972) Period. Math. Hungar. , vol.2 , pp. 301-326
    • Roth, K.F.1
  • 11
    • 0001686857 scopus 로고
    • Generalized arithmetic progressions and sumsets
    • I. RUZSA, Generalized arithmetic progressions and sumsets, Acta Math. Hungar. 65 (1994), 379-388.
    • (1994) Acta Math. Hungar. , vol.65 , pp. 379-388
    • Ruzsa, I.1
  • 12
    • 84968502319 scopus 로고
    • Primitive recursive bounds for van der Waerden numbers
    • S. SHELAH, Primitive recursive bounds for van der Waerden numbers, J. Amer. Math. Soc. 1 (1988), 683-697.
    • (1988) J. Amer. Math. Soc. , vol.1 , pp. 683-697
    • Shelah, S.1
  • 13
    • 0006377805 scopus 로고
    • On sets of integers containing no four elements in arithmetic progression
    • E. SZEMERÉDI, On sets of integers containing no four elements in arithmetic progression, Acta Math. Acad. Sci. Hungar. 20 (1969), 89-104.
    • (1969) Acta Math. Acad. Sci. Hungar. , vol.20 , pp. 89-104
    • Szemerédi, E.1
  • 14
    • 0001549458 scopus 로고
    • On sets of integers containing no k elements in arithmetic progression
    • E. SZEMERÉDI, On sets of integers containing no k elements in arithmetic progression, Acta Arith. 27 (1975), 299-345.
    • (1975) Acta Arith. , vol.27 , pp. 299-345
    • Szemerédi, E.1
  • 15
    • 0006669812 scopus 로고
    • Integer sets containing no arithmetic progressions
    • E. SZEMERÉDI, Integer sets containing no arithmetic progressions, Acta Math. Hungar. 56 (1990), 155-158.
    • (1990) Acta Math. Hungar. , vol.56 , pp. 155-158
    • Szemerédi, E.1
  • 16
    • 0037960194 scopus 로고
    • Über die gleichverteilung von zahlen mod eins
    • H. WEYL, Über die Gleichverteilung von Zahlen mod Eins, Math. Annalen 77 (1913), 313-352.
    • (1913) Math. Annalen , vol.77 , pp. 313-352
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.