Pair correlation of Farey fractions with square-free denominators

2023/03/22 by Chahal, Bittu, Chaubey, Sneha · 1 citation
#11B57 11J71 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2303.12882

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.

Cited by

• Distribution of Farey fractions with k-free denominators

Related

• A note on the pair correlation of Farey fractions
• The correlations of Farey fractions
• Distribution of Farey fractions with k-free denominators
• On the distribution of index of Farey Sequences
• On the distribution of polynomial Farey points and Chebyshev's bias phenomenon