On infinite sum-free sets of natural numbers

DOI10.1006/jnth.1997.2169zbMath0884.11018OpenAlexW2069533429MaRDI QIDQ1372589

Tomasz Łuczak, Tomasz Schoen

Publication date: 18 November 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2169

zbMATH Keywords

\(k\)-sum-free sets

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Special sequences and polynomials (11B83)

Related Items (6)

Solution-free sets for linear equations. ⋮ Følner sequences and sum-free sets ⋮ Sum-free subsets of right cancellative semigroups ⋮ The largest $(k,\ell )$-sum-free subsets ⋮ On the density of sets containing no three distinct numbers with all their sums ⋮ On the regular sum-free sets

Cites Work

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• On small sumsets in an abelian group
• A note on the density of sum-free sets
• Ein Satz über abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen
• On a class of aperiodic sum-free sets
• On strongly sum-free subsets of abelian groups

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