On the smallest gap in a sequence with Poisson pair correlations
Combinatorics
2025-03-05 v1 Number Theory
Abstract
We prove that any increasing sequence of real numbers with average gap and Poisson pair correlations has some gap that is at least . This improves upon a result of Aistleitner, Blomer, and Radziwill.
Cite
@article{arxiv.2210.17466,
title = {On the smallest gap in a sequence with Poisson pair correlations},
author = {Daniel Altman and Zachary Chase},
journal= {arXiv preprint arXiv:2210.17466},
year = {2025}
}
Comments
17 pages