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A removal lemma for linear configurations in subsets of the circle

Part of: Sequences and sets

Published online by Cambridge University Press:  28 June 2013

Pablo Candela  and
Olof Sisask
Pablo Candela
Affiliation:
Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UK ([email protected])
Olof Sisask
Affiliation:
School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, UK ([email protected])
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Abstract

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We 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.

Keywords

removal lemmatorussystems of linear equations

MSC classification

Secondary: 11B30: Arithmetic combinatorics; higher degree uniformity 11B75: Other combinatorial number theory
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 3 , October 2013 , pp. 657 - 666
Copyright
Copyright © Edinburgh Mathematical Society 2013 

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