Pair correlation of Farey fractions with square-free denominators
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910527576342528 |
|---|---|
| author | Chahal, Bittu Chaubey, Sneha |
| author_facet | Chahal, Bittu Chaubey, Sneha |
| contents | In this article, we study the pair correlation of Farey fractions by proving that the limiting pair correlation function of the sequence of Farey fractions with square-free denominators exists and provide an explicit formula for the limiting pair correlation function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_12882 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Pair correlation of Farey fractions with square-free denominators Chahal, Bittu Chaubey, Sneha Number Theory 11B57 11J71 In this article, we study the pair correlation of Farey fractions by proving that the limiting pair correlation function of the sequence of Farey fractions with square-free denominators exists and provide an explicit formula for the limiting pair correlation function. |
| title | Pair correlation of Farey fractions with square-free denominators |
| topic | Number Theory 11B57 11J71 |
| url | https://arxiv.org/abs/2303.12882 |