Gap distribution of Farey fractions under some divisibility constraints

zbMath1290.11035arXiv1301.0277MaRDI QIDQ2855627

Florin P. Boca, Paul Spiegelhalter, Byron Heersink

Publication date: 25 October 2013

Full work available at URL: https://arxiv.org/abs/1301.0277

zbMATH Keywords

Farey fractionsexistence of the limiting gap distribution measure

Mathematics Subject Classification ID

Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Related Items (4)

A note on the pair correlation of Farey fractions ⋮ Improved tail estimates for the distribution of quadratic Weyl sums ⋮ Ducci iterates and similar ordering of visible points in convex regions ⋮ Poincaré sections for the horocycle flow in covers of \(\mathrm {SL}(2,\mathbb {R})/\mathrm {SL}(2,\mathbb {Z})\) and applications to Farey fraction statistics

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