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Metric Poissonian Pair Correlation Property Part 2: The Case \(n\log n\)
We prove that $(αn\log n)_{n\ge1}$ has Poissonian pair correlation for almost every real $α$, solving a Problem posed by Aistleitner, El-Baz and Munsch [Open Problem 3, Geom. Funct. Anal. 2021]. Our main contribution is a new four-point counting estimate with a fixed power saving over $N^{7/3}$ at t
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