The Ubiquity of Sidon Sets That Are Not $I_0$
Classical Analysis and ODEs
2016-02-16 v1 Functional Analysis
Abstract
We prove that every infinite, discrete abelian group admits a pair of sets whose union is not . In particular, this implies that every such group contains a Sidon set that is not .
Keywords
Cite
@article{arxiv.1602.04241,
title = {The Ubiquity of Sidon Sets That Are Not $I_0$},
author = {Kathryn E. Hare and L. Thomas Ramsey},
journal= {arXiv preprint arXiv:1602.04241},
year = {2016}
}