The largest (k, ℓ)-sum-free sets in compact abelian groups

2019/01/10 by Noah Kravitz, Kravitz, Noah · 1 citation
Mathematics · #Advanced Topology and Set Theory #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1901.03233

openalex publication_date 2019/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A subset A of a finite abelian group is called (k,ℓ)-sum-free if kA ∩ ℓ A=∅. In this paper, we extend this concept to compact abelian groups and study the question of how large a measurable (k,ℓ)-sum-free set can be. For integers 1 ≤ k

Cited by

• C-(k, ℓ)-Sum-Free Sets

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