Product of three numbers being a square as a Ramsey property
Volume 120 / 2010
Colloquium Mathematicum 120 (2010), 1-5
MSC: Primary 11A05, 05C55.
DOI: 10.4064/cm120-1-1
Abstract
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.
