Sumsets contained in infinite sets of integers

DOI10.1016/0097-3165(80)90081-3zbMath0451.10036OpenAlexW2065042838MaRDI QIDQ1147752

Melvyn B. Nathanson

Publication date: 1980

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(80)90081-3

zbMATH Keywords

densitysets of integerssum-sets

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Additive bases, including sumsets (11B13)

Related Items (7)

Recent Progress in Hilbert Cubes Theory ⋮ Subsets of virtually nilpotent groups with the SBM property ⋮ Hilbert cubes meet arithmetic sets ⋮ On density, translates, and pairwise sums of integers ⋮ On Supra-SIM Sets of Natural Numbers ⋮ A proof of a sumset conjecture of Erdős ⋮ On additive and multiplicative Hilbert cubes

Cites Work

• Partitions and sums of integers with repetition
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Finite sums from sequences within cells of a partition of N
• A short proof of Hindman's theorem
• Ultrafilters: Some old and some new results
• Partitions and Sums and Products of Integers
• Ramsey's Theorem for n-Parameter Sets
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