A low-energy decomposition theorem

Antal Balog, Trevor Wooley

Research output: Contribution to journalArticle (Academic Journal)

8 Citations (Scopus)
294 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)207-226
Number of pages20
JournalQuarterly Journal of Mathematics
Issue number1
Early online date26 Sep 2016
Publication statusPublished - 21 Mar 2017


  • Sum-product estimates
  • additive energy
  • multiplicative energy

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