A low-energy decomposition theorem

Antal Balog; Trevor Wooley

doi:10.1093/qmath/haw023

A low-energy decomposition theorem

Antal Balog
, Trevor Wooley

Research output: Contribution to journal › Article (Academic Journal) › peer-review

21 Citations (Scopus)

469 Downloads (Pure)

Abstract

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 language	English
Pages (from-to)	207-226
Number of pages	20
Journal	Quarterly Journal of Mathematics
Volume	68
Issue number	1
Early online date	26 Sept 2016
DOIs	https://doi.org/10.1093/qmath/haw023
Publication status	Published - 21 Mar 2017

Keywords

Sum-product estimates
additive energy
multiplicative energy

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10.1093/qmath/haw023

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title = "A low-energy decomposition theorem",

abstract = "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.",

keywords = "Sum-product estimates, additive energy, multiplicative energy",

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journal = "Quarterly Journal of Mathematics",

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AU - Wooley, Trevor

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AB - 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.

KW - Sum-product estimates

KW - additive energy

KW - multiplicative energy

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DO - 10.1093/qmath/haw023

M3 - Article (Academic Journal)

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EP - 226

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JF - Quarterly Journal of Mathematics

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ER -

A low-energy decomposition theorem

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