# On Pair Correlation of Sequences

**Authors:** Gerhard Larcher, Wolfgang Stockinger

arXiv: 1903.09978 · 2019-03-26

## TL;DR

This paper surveys the concept of Poissonian pair correlation of sequences, discusses recent results, open problems, and introduces a multi-dimensional extension of PPC.

## Contribution

It provides a comprehensive overview of PPC, including recent developments and a new multi-dimensional version, highlighting open research directions.

## Key findings

- Survey of existing PPC results
- Introduction of multi-dimensional PPC
- Discussion of open problems in the field

## Abstract

We give a survey on the concept of Poissonian pair correlation (PPC) of sequences in the unit interval, on existing and recent results and we state a list of open problems. Moreover, we present and discuss a quite recent multi-dimensional version of PPC.

## Full text

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## Figures

4 figures with captions in the complete paper: https://tomesphere.com/paper/1903.09978/full.md

## References

29 references — full list in the complete paper: https://tomesphere.com/paper/1903.09978/full.md

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Source: https://tomesphere.com/paper/1903.09978