Pair correlation of Farey fractions with square-free denominators

Autorzy

Dane publikacji

  • DOI: 10.4064/aa230329-6-6

  • Tom 215

  • Zeszyt 4

  • Czasopismo: Acta Arithmetica

  • Strony: 289-307

  • Data publikacji online: 05.09.2024

Liczba wyświetleń: 0

Liczba pobrań: 0

Abstrakt

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.