A note on the pair correlation of Farey fractions

2021/09/27 by Boca, Florin P., Siskaki, Maria · 1 citation
#11K38 #FOS: Mathematics #Number Theory (math.NT) #Primary 11J71 #Secondary 11B57

paper · doi:10.48550/arxiv.2109.12744

Abstract

The pair correlations of Farey fractions with denominators q satisfying (q,m)=1, respectively q≡ b \pmodm with (b,m)=1, are shown to exist and are explicitly computed.

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