Best Possible Results on the Density of Sumsets

  • Melvyn B. Nathanson
Part of the Progress in Mathematics book series (PM, volume 85)


Mann and Kneser obtained lower bounds for the Shnirel’man density and lower asymptotic density of the sum of a finite number of sequences of non-negative integers. In this paper, special integer sequences are constructed to prove that these results are best possible.


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Copyright information

© Birkhäuser Boston 1990

Authors and Affiliations

  • Melvyn B. Nathanson
    • 1
  1. 1.Lehman CollegeCUNYBronxUSA

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