A note on the pair correlation of Farey fractions
Volume 205 / 2022
Acta Arithmetica 205 (2022), 121-135
MSC: Primary 11J71; Secondary 11B57, 11K38.
DOI: 10.4064/aa210926-30-8
Published online: 22 September 2022
Abstract
The pair correlations of Farey fractions with denominators $q$ satisfying $(q,m)=1$, respectively $q\equiv b \bmod {m}$ with $(b,m)=1$, are shown to exist and are explicitly computed.
