A p-adic Poissonian Pair Correlation Concept
Number Theory
2023-08-30 v1
Abstract
The pair correlation statistic is an important concept in real uniform distribution theory. Therefore, sequences in the unit interval with (weak) Poissonian pair correlations have attracted a lot of attention in recent time. The aim of this paper is to suggest a generalization to the p-adic integers and to prove some of its main properties. In particular, connections to the theory of p-adic discrepancy theory are discussed.
Cite
@article{arxiv.2308.15446,
title = {A p-adic Poissonian Pair Correlation Concept},
author = {Christian Weiss},
journal= {arXiv preprint arXiv:2308.15446},
year = {2023}
}