Product of three numbers being a square as a Ramsey property

M. Skałba

Colloquium Mathematicae (2010)

  • Volume: 120, Issue: 1, page 1-5
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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M. Skałba. "Product of three numbers being a square as a Ramsey property." Colloquium Mathematicae 120.1 (2010): 1-5. <http://eudml.org/doc/284120>.

@article{M2010,
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.},
author = {M. Skałba},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {1-5},
title = {Product of three numbers being a square as a Ramsey property},
url = {http://eudml.org/doc/284120},
volume = {120},
year = {2010},
}

TY - JOUR
AU - M. Skałba
TI - Product of three numbers being a square as a Ramsey property
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 1
SP - 1
EP - 5
AB - 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.
LA - eng
UR - http://eudml.org/doc/284120
ER -

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