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arXiv · 2506.17031

Metric Poissonian pair correlation for real sequences and energy estimates

Bryce Kerr·Hongliang Wang
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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.

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Bryce Kerr, Hongliang Wang. 2025-06-20. Metric Poissonian pair correlation for real sequences and energy estimates. https://arxiv.org/abs/2506.17031

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