Metric Poissonian pair correlation for real sequences and energy estimates

Bryce Kerr; Hongliang Wang

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Metric Poissonian pair correlation for real sequences and energy estimates

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arxiv 2506.17031 v2 pith:ZWO7SMTG submitted 2025-06-20 math.NT

Bryce Kerr , Hongliang Wang This is my paper · ORCID

classification math.NT

keywords correlationmetricpairpoissonianconditionsrealsequencesunder

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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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