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A low-energy decomposition theorem

Research output: Contribution to journalArticle

  • Antal Balog
  • Trevor Wooley
Original languageEnglish
Pages (from-to)207-226
Number of pages20
JournalQuarterly Journal of Mathematics
Issue number1
Early online date26 Sep 2016
DateAccepted/In press - 20 Jun 2016
DateE-pub ahead of print - 26 Sep 2016
DatePublished (current) - 21 Mar 2017


We prove that any finite set of real numbers can be split into two parts, one part being highly non-additive and the other highly non-multiplicative.

    Research areas

  • Sum-product estimates, additive energy, multiplicative energy

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  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Oxford University Press at DOI: 10.1093/qmath/haw023. Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 345 KB, PDF document


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