Metric Poissonian pair correlation for real sequences and energy estimates
Number Theory
2025-08-15 v2
Abstract
We establish new conditions under which a sequence of real numbers has metric Poissonian pair correlation. These conditions strengthen results of Aistleitner, El-Baz and Munsch (2021) and resolve one of their open problems under a mild growth assumption. As applications, we show that quantitatively convex and polynomial sequences have metric Poissonian pair correlation.
Keywords
Cite
@article{arxiv.2506.17031,
title = {Metric Poissonian pair correlation for real sequences and energy estimates},
author = {Bryce Kerr and Hongliang Wang},
journal= {arXiv preprint arXiv:2506.17031},
year = {2025}
}
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40 pages