Density versions of two generalizations of Schur's theorem

DOI10.1016/0097-3165(88)90072-6zbMath0642.05002OpenAlexW2008173426MaRDI QIDQ1101112

Vitaly Bergelson, Neil Hindman

Publication date: 1988

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(88)90072-6

zbMATH Keywords

partitionarithmetic progressioncells

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (5)

A combinatorially large cell of a partition of N ⋮ Density versions of Schur's theorem for ideals generated by submeasures ⋮ Ultrafilters and multidimensional Ramsey theorems ⋮ Iterated combinatorial density theorems ⋮ Nonmetrizable Topological Dynamics and Ramsey Theory

Cites Work

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• An ergodic Szemerédi theorem for IP-systems and combinatorial theory
• A density statement generalizing Schur's theorem
• Finite sums from sequences within cells of a partition of N
• Translation Properties of Sets of Positive Upper Density
• 𝐼𝑃_𝑟-sets, Szemerédi’s theorem, and Ramsey theory
• Poincaré recurrence and number theory

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