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Sumsets containing k-free integers

Part of the Lecture Notes in Mathematics book series (LNM,volume 1380)

Keywords

  • Zeta Function
  • Distinct Element
  • Arithmetic Progression
  • Riemann Zeta Function
  • Asymptotic Density

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References

  1. N. Alon, Subset sums, J. Number Theory 27 (1987), 196–205.

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  2. 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.

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  3. P. Erdös and G. Freiman, On two additive problems, J. Number Theory, to appear.

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  4. P. Erdös, M. B. Nathanson, and A. Sárközy, Sumsets containing infinite arithmetic progressions, J. Number Theory 28 (1988), 159–166.

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  5. M. Filaseta, Sets with elements summing to square-free numbers, C. R. Math. Rep. Acad. Sci. Canada 9 (1987), 243–246.

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  6. M. B. Nathanson and A. Sárközy, Sumsets containing long arithmetic progressions and powers of 2, Acta Arith., to appear.

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© 1989 Springer-Verlag

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Nathanson, M.B. (1989). Sumsets containing k-free integers. In: Schlickewei, H.P., Wirsing, E. (eds) Number Theory. Lecture Notes in Mathematics, vol 1380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086552

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  • DOI: https://doi.org/10.1007/BFb0086552

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51397-1

  • Online ISBN: 978-3-540-46205-7

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