A removal lemma for linear configurations in subsets of the circle

2011/09/13 by Pablo Candela, Candela, Pablo, Olof Sisask +1
Mathematics · #11B30 (Primary) 11B75 (Secondary) #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #math.CA #math.CO #msc:11B30 #msc:11B75

paper · pdf · doi:10.48550/arxiv.1109.2939

10 pages

arxiv created 2011/09/13 · arxiv updated 2011/09/15

Abstract

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.

Related

• A Removal Lemma for Systems of Linear Equations over Finite Fields
• On the Removal Lemma for Linear Systems over Abelian Groups
• On the removal lemma for linear configurations in finite abelian groups
• A combinatorial proof of the Removal Lemma for Groups
• Another Proof of a Lemma by L. Shepp