Displaying similar documents to “Ramseyan ultrafilters”

Orthogonal partitions

Barbara Majcher-Iwanow (1990)

Acta Universitatis Carolinae. Mathematica et Physica

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Combinatorial interpretations for identities using chromatic partitions

Mateus Alegri, Wagner Ferreira Santos, Samuel Brito Silva (2021)

Czechoslovak Mathematical Journal

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We provide combinatorial interpretations for three new classes of partitions, the so-called chromatic partitions. Using only combinatorial arguments, we show that these partition identities resemble well-know ordinary partition identities.

Product of three numbers being a square as a Ramsey property

M. Skałba (2010)

Colloquium Mathematicae

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For any partition of a set of squarefree numbers with relative density greater than 3/4 into two parts, at least one part contains three numbers whose product is a square. Also generalizations to partitions into more than two parts are discussed.