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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.03187 |
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Table of Contents:
- In this paper we show that the subset of integers that satisfies the Khintchine inequality for $p=1$ with the optimal constant ${\sqrt{2}}$ has to be a $Z_2$ set. We further prove a similar result for a large class of discrete groups. Our arguments rely on previous works by Haagerup/Musat \cite{Haagerup2007}, and Haagerup/Itoh \cite{Haagerup1995}.