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Volumn 98, Issue 1-2, 2003, Pages 111-128

A polynomial Sárközy-Furstenberg theorem with upper bounds

Author keywords

Difference sets; Hardy Littlewood method; Recurrence

Indexed keywords


EID: 0037256206     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022813623110     Document Type: Article
Times cited : (26)

References (8)
  • 1
    • 0030554108 scopus 로고    scopus 로고
    • Polynomial extensions of van der Waerden and Szemerédi theorems
    • V. Bergelson and A. Leibman, Polynomial extensions of van der Waerden and Sze merédi theorems, J. Amer. Math. Soc., 9 (1996), 725-753.
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 725-753
    • Bergelson, V.1    Leibman, A.2
  • 2
    • 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. Anal. Math., 31 (1977), 204-256.
    • (1977) J. Anal. Math. , vol.31 , pp. 204-256
    • Furstenberg, H.1
  • 3
    • 33746444931 scopus 로고    scopus 로고
    • Fourier analysis and Szemerédi's theorem
    • T. Gowers, Fourier analysis and Szemerédi's theorem, Doc. Math., Extra Volume ICM (1998), 617-629.
    • (1998) Doc. Math., Extra Volume ICM , pp. 617-629
    • Gowers, T.1
  • 4
    • 84963056769 scopus 로고
    • On sets of natural integers whose difference set contains no squares
    • J. Pintz, W. L. Steiger and E. Szemerédi, On sets of natural integers whose difference set contains no squares, J. London Math. Soc., 37 (1988), 219-231.
    • (1988) J. London Math. Soc. , vol.37 , pp. 219-231
    • Pintz, J.1    Steiger, W.L.2    Szemerédi, E.3
  • 5
    • 0001333329 scopus 로고
    • On difference sets of integers. I
    • A. Sárközy, On difference sets of integers. I, Acta Math. Acad. Sci. Hungar., 31 (1978), 125-149.
    • (1978) Acta Math. Acad. Sci. Hungar. , vol.31 , pp. 125-149
    • Sárközy, A.1
  • 6
    • 0001333333 scopus 로고
    • On difference sets of integers. III
    • A. Sárközy, On difference sets of integers. III, Acta Math. Acad. Sci. Hungar., 31 (1978), 355-386.
    • (1978) Acta Math. Acad. Sci. Hungar. , vol.31 , pp. 355-386
    • Sárközy, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.