A removal lemma for linear configurations in subsets of the circle-Reference-Cited by-同舟云学术

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A removal lemma for linear configurations in subsets of the circle

Published:2013-06-28 Issue:3 Volume:56 Page:657-666
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Candela Pablo,Sisask Olof

Abstract

AbstractWe obtain a removal lemma for systems of linear equations over the circle group, using a similar result for finite fields due to Král′, Serra and Vena, and we discuss some applications.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. On the addition of point-sets in the sense of Schnirelmann;Raikov;Mat. Sb.,1939

2. Large values of the Gowers-Host-Kra seminorms

3. On the asymptotic maximal density of a set avoiding solutions to linear equations modulo a prime

4. Additive Combinatorics

5. A proof of Green's conjecture regarding the removal properties of sets of linear equations

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Szemerédi-type theorem for subsets of the unit cube;Analysis & PDE;2022-04-12

2. On sets with small sumset in the circle;The Quarterly Journal of Mathematics;2018-08-01

3. On Linear Configurations in Subsets of Compact Abelian Groups, and Invariant Measurable Hypergraphs;Annals of Combinatorics;2016-05-07

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