An Improved Bound for the Size of the Set A/A+A

Author Oliver Roche-Newton



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Oliver Roche-Newton

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Oliver Roche-Newton. An Improved Bound for the Size of the Set A/A+A. In 34th International Symposium on Computational Geometry (SoCG 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 99, pp. 69:1-69:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)
https://doi.org/10.4230/LIPIcs.SoCG.2018.69

Abstract

It is established that for any finite set of positive real numbers A, we have |A/A+A| >> |A|^{3/2+1/26} / log^{5/6}|A|.
Keywords
  • sum-product estimates
  • expanders
  • incidence theorems
  • discrete geometry

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