English

A note on the pair correlation of Farey fractions

Number Theory 2022-09-20 v2

Abstract

The pair correlations of Farey fractions with denominators qq satisfying (q,m)=1(q,m)=1, respectively qb(modm)q\equiv b \pmod{m} with (b,m)=1(b,m)=1, are shown to exist and are explicitly computed.

Keywords

Cite

@article{arxiv.2109.12744,
  title  = {A note on the pair correlation of Farey fractions},
  author = {Florin P. Boca and Maria Siskaki},
  journal= {arXiv preprint arXiv:2109.12744},
  year   = {2022}
}

Comments

12 pages, one figure