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Difference sets without squares

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Abstract

A sequence of natural numbersA=a 1,a 2, ... is constructed such that noa i −a j is a square and there are >x 0,73 a i 's belowx.

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References

  1. H. Halberstam andK. F. Roth,Sequences, Clarendon, Oxford, 1966.MR 35 # 1565

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Authors and Affiliations

  1. MTA Matematikai Kutató Intézet, Reáltanoda U. 13-15, P.O. Box 127, H-1364, Budapest, Hungary

    I. Z. Ruzsa

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  1. I. Z. Ruzsa
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Ruzsa, I.Z. Difference sets without squares. Period Math Hung 15, 205–209 (1984). https://doi.org/10.1007/BF02454169

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  • DOI: https://doi.org/10.1007/BF02454169

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