PreprintCC BY 4.0arXiv
Metric Poissonian Pair Correlation Property Part 1: The Case n+log n
Abstract
We prove that (α(n+log n))n≥1 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].
Related
BibTeX
@misc{tan2026metric,
title = {{Metric Poissonian Pair Correlation Property Part 1: The Case \(n+\log n\)}},
author = {Bo Tan and Zhen Zhang and Qing-Long Zhou},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22836},
eprint = {2610.22836},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22836},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Metric Poissonian Pair Correlation Property Part 1: The Case n+log n
AU - Bo Tan
AU - Zhen Zhang
AU - Qing-Long Zhou
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.22836
UR - https://arxiv.org/abs/2610.22836
AB - We prove that (α(n+log n))_n≥1 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].
ER -