Random weighted Sidon sets
Volume 86 / 2000
Colloquium Mathematicum 86 (2000), 103-109
DOI: 10.4064/cm-86-1-103-109
Abstract
We investigate random Sidon-type sets in which the degrees of the representations are weighted. These variants of Sidon sets are of interest as there are compact non-abelian groups which admit no infinite Sidon sets. In this note we determine the largest weight function such that infinite random weighted Sidon sets exist in all infinite compact groups.
