Metric Poissonian Pair Correlation Property Part 1: The Case $n+\log n$

Bo Tan, Zhen Zhang, Qing-Long Zhou

Source record

Source: arXiv

Published: Oct 16, 2026

arXiv: 2610.22836

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Source abstract

We prove that $(α(n+\log n))_{n\ge1}$ has Poissonian pair correlation for Lebesgue almost every real $α$ . This solves a Problem posed by Aistleitner, El-Baz and Munsch [Open Problem 2, Geom. Funct. Anal. 2021].

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Metric Poissonian Pair Correlation Property Part 1: The Case $n+\log n$ — Mathematical Frontier Network