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A low-energy decomposition theorem

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A low-energy decomposition theorem. / Balog, Antal; Wooley, Trevor.

In: Quarterly Journal of Mathematics, Vol. 68, No. 1, 21.03.2017, p. 207-226.

Research output: Contribution to journalArticle

Harvard

Balog, A & Wooley, T 2017, 'A low-energy decomposition theorem', Quarterly Journal of Mathematics, vol. 68, no. 1, pp. 207-226. https://doi.org/10.1093/qmath/haw023

APA

Balog, A., & Wooley, T. (2017). A low-energy decomposition theorem. Quarterly Journal of Mathematics, 68(1), 207-226. https://doi.org/10.1093/qmath/haw023

Vancouver

Balog A, Wooley T. A low-energy decomposition theorem. Quarterly Journal of Mathematics. 2017 Mar 21;68(1):207-226. https://doi.org/10.1093/qmath/haw023

Author

Balog, Antal ; Wooley, Trevor. / A low-energy decomposition theorem. In: Quarterly Journal of Mathematics. 2017 ; Vol. 68, No. 1. pp. 207-226.

Bibtex

@article{7fbba6992a4243038658dff3fd476979,
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",
author = "Antal Balog and Trevor Wooley",
year = "2017",
month = "3",
day = "21",
doi = "10.1093/qmath/haw023",
language = "English",
volume = "68",
pages = "207--226",
journal = "Quarterly Journal of Mathematics",
issn = "0033-5606",
publisher = "Oxford University Press",
number = "1",

}

RIS - suitable for import to EndNote

TY - JOUR

T1 - A low-energy decomposition theorem

AU - Balog, Antal

AU - Wooley, Trevor

PY - 2017/3/21

Y1 - 2017/3/21

N2 - 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.

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

U2 - 10.1093/qmath/haw023

DO - 10.1093/qmath/haw023

M3 - Article

VL - 68

SP - 207

EP - 226

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

SN - 0033-5606

IS - 1

ER -