Work

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

Year: 2026

Type: preprint

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].

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.22836

Authors: Tan, Bo, Zhang, Zhen, Zhou, Qing-Long

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7222929455

Cites: 2

Cited by:

Related to: 10

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