License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.SoCG.2018.69
URN: urn:nbn:de:0030-drops-87820
URL: https://drops.dagstuhl.de/opus/volltexte/2018/8782/
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Roche-Newton, Oliver

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

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LIPIcs-SoCG-2018-69.pdf (0.4 MB)

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|.

BibTeX - Entry

@InProceedings{rochenewton:LIPIcs:2018:8782,
  author =	{Oliver Roche-Newton},
  title =	{{An Improved Bound for the Size of the Set A/A+A}},
  booktitle =	{34th International Symposium on Computational Geometry (SoCG 2018)},
  pages =	{69:1--69:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-066-8},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{99},
  editor =	{Bettina Speckmann and Csaba D. T{\'o}th},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/8782},
  URN =		{urn:nbn:de:0030-drops-87820},
  doi =		{10.4230/LIPIcs.SoCG.2018.69},
  annote =	{Keywords: sum-product estimates, expanders, incidence theorems, discrete geometry}
}

Keywords: sum-product estimates, expanders, incidence theorems, discrete geometry
Collection: 34th International Symposium on Computational Geometry (SoCG 2018)
Issue Date: 2018
Date of publication: 08.06.2018

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