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

Published 16 Oct 2026 in math.NT | (2610.22836v1)

Abstract: We prove that (α(n+log⁡n))n≥1(α(n+\log n))_{n\ge1} has Poissonian pair correlation for Lebesgue almost every real αα. This solves a Problem posed by Aistleitner, El-Baz and Munsch [Open Problem 2, Geom. Funct. Anal. 2021].

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