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Generalized arithmetical progressions and sumsets

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References

  1. N. N. Bogolyubov, Some algebraical properties of almost periods (in Russian),Zap. kafedry mat. fiziki Kiev,4 (1939), 185–194.

    Google Scholar 

  2. J. Bourgain, On arithmetic progressions in sums of sets of integers, in:A tribute to Paul Erdős, eds. A. Baker, B. Bollobás, A. Hajnal, Cambridge Univ. Press (Cambridge, England, 1990), pp. 105–109.

    Google Scholar 

  3. G. A. Freiman,Foundations of a Structural Theory of Set Addition (in Russian), Kazan Gos. Ped. Inst. (Kazan, 1966).

    Google Scholar 

  4. G. A. Freiman,Foundations of a Structural Theory of Set Addition, Translation of Mathematical Monographs vol. 37, Amer. Math. Soc. (Providence, R. I., USA, 1973).

    Google Scholar 

  5. G. A. Freiman, What is the structure ofK ifK+K is small?, in:Lecture Notes in Mathematics 1240 Springer-Verlag, (New York-Berlin, 1987), pp. 109–134.

    Google Scholar 

  6. G. A. Freiman, H. Halberstam and I. Z. Ruzsa, Integer sum sets containing long arithmetic progressions,J. London Math. Soc.,46 (1992), 193–201.

    Google Scholar 

  7. I. Z. Ruzsa, Arithmetic progressions in sumsets,Acta Arithmetica,60 (1991), 191–202.

    Google Scholar 

  8. I. Z. Ruzsa, Arithmetical progressions and the number of sums,Periodica Math. Hung.,25 (1992), 105–111.

    Google Scholar 

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Supported by Hungarian National Foundation for Scientific Research, Grant No. 1901.

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Ruzsa, I.Z. Generalized arithmetical progressions and sumsets. Acta Math Hung 65, 379–388 (1994). https://doi.org/10.1007/BF01876039

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