Roche-Newton, Oliver and Ruzsa, Z. Imre and Shen, Chun-Yen and Shkredov, Ilya D.
(2019)
*On the size of the set AA+A.*
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 99 (2).
pp. 474-494.
ISSN 0024-6107 (print); 1469-7750 (online)

Text
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Official URL: http://doi.org/10.1112/jlms.12177

## Abstract

It is established that there exists an absolute constant c > 0 such that for any finite set A of positive real numbers |AA + A| >> |A|3/2+c On the other hand, we give an explicit construction of a finite set A ⊂ R such that |AA + A| = o(|A|2), disproving a conjecture of Balog.

Item Type: | Article |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet |

SWORD Depositor: | MTMT SWORD |

Depositing User: | MTMT SWORD |

Date Deposited: | 15 Nov 2019 12:26 |

Last Modified: | 15 Nov 2019 12:26 |

URI: | http://real.mtak.hu/id/eprint/103296 |

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