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Number Theory pp 179-184 | Cite as

Sumsets containing k-free integers

  • Melvyn B. Nathanson
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1380)

Keywords

Zeta Function Distinct Element Arithmetic Progression Riemann Zeta Function Asymptotic Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    N. Alon, Subset sums, J. Number Theory 27 (1987), 196–205.MathSciNetCrossRefzbMATHGoogle Scholar
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    P. Erdös, Some problems and results on combinatorial number theory, in: Proc. First China-U.S.A. Conference on Graph Theory and its Applications (Jinan, 1986), Annals New York Acad. Sci., to appear.Google Scholar
  3. 3.
    P. Erdös and G. Freiman, On two additive problems, J. Number Theory, to appear.Google Scholar
  4. 4.
    P. Erdös, M. B. Nathanson, and A. Sárközy, Sumsets containing infinite arithmetic progressions, J. Number Theory 28 (1988), 159–166.MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    M. Filaseta, Sets with elements summing to square-free numbers, C. R. Math. Rep. Acad. Sci. Canada 9 (1987), 243–246.MathSciNetzbMATHGoogle Scholar
  6. 6.
    M. B. Nathanson and A. Sárközy, Sumsets containing long arithmetic progressions and powers of 2, Acta Arith., to appear.Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Melvyn B. Nathanson
    • 1
  1. 1.Provost and Vice President for Academic AffairsLehman College (CUNY)Bronx

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