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arXiv:1602.04241 [math.CA]AbstractReferencesReviewsResources

The Ubiquity of Sidon Sets That Are Not $I_0$

Kathryn E. Hare, L. Thomas Ramsey

Published 2016-01-26Version 1

We prove that every infinite, discrete abelian group admits a pair of $I_0$ sets whose union is not $I_0$. In particular, this implies that every such group contains a Sidon set that is not $I_{0}$.

Categories: math.CA, math.FA
Subjects: 43A46
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