Product of three numbers being a square
as a Ramsey property
Colloquium Mathematicum, Tome 120 (2010) no. 1, pp. 1-5
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
partition set squarefree numbers relative density greater parts least part contains three numbers whose product square generalizations partitions parts discussed
Affiliations des auteurs :
M. Skałba 1
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author = {M. Ska{\l}ba},
title = {Product of three numbers being a square
as a {Ramsey} property},
journal = {Colloquium Mathematicum},
pages = {1--5},
publisher = {mathdoc},
volume = {120},
number = {1},
year = {2010},
doi = {10.4064/cm120-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm120-1-1/}
}
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
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