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