Product of three numbers being a square as a Ramsey property

• Autorzy: M. Skałba
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11A05: Multiplicative structure; Euclidean algorithm; greatest common divisors
• 05C55: Generalized Ramsey theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 120
• Numer: 1
• Strony: 1-5

Daty

wydano

2010

Twórcy

autor

M. Skałba

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm120-1-1