Product of three numbers being a square as a Ramsey property
Colloquium Mathematicum, Tome 120 (2010) no. 1, pp. 1-5.

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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.
DOI : 10.4064/cm120-1-1
Keywords: partition set squarefree numbers relative density greater parts least part contains three numbers whose product square generalizations partitions parts discussed

M. Skałba 1

1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
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M. Skałba. Product of three numbers being a square
 as a Ramsey property. Colloquium Mathematicum, Tome 120 (2010) no. 1, pp. 1-5. doi : 10.4064/cm120-1-1. http://geodesic.mathdoc.fr/articles/10.4064/cm120-1-1/

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