Pair correlation of Farey fractions with square-free denominators
Number Theory
2024-07-16 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2303.12882,
title = {Pair correlation of Farey fractions with square-free denominators},
author = {Bittu Chahal and Sneha Chaubey},
journal= {arXiv preprint arXiv:2303.12882},
year = {2024}
}
Comments
16 pages, 1 figure