Ramsey's theorem for sums, products, and arithmetic progressions

DOI10.1016/0097-3165(85)90024-XzbMath0567.05004MaRDI QIDQ1059631

Neil Hindman

Publication date: 1985

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

zbMATH Keywords

ultrafiltersHindman theorem

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Arithmetic progressions (11B25)

Related Items

A combinatorially large cell of a partition of N ⋮ Some equivalents of the Erdős sum of reciprocals conjecture ⋮ Subprincipal closed ideals in \(\beta N\) ⋮ Semigroup structures on \(\beta\mathbb{N}\) ⋮ Ultrafilters on a discrete set with two binary operations ⋮ The minimal ideals of a multiplicative and additive subsemigroup of \(\beta\) \({\mathbb{N}}\)

Cites Work

• Unnamed Item
• Finite sums from sequences within cells of a partition of N
• Partitions and Sums and Products of Integers