Displaying similar documents to “Ramseyan ultrafilters”

Orthogonal partitions

Barbara Majcher-Iwanow (1990)

Acta Universitatis Carolinae. Mathematica et Physica

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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.