Asymptotic distribution of the distance function to the Farey points

DOI10.1006/JNTH.1997.2110zbMath0931.11028OpenAlexW2020462688MaRDI QIDQ1360716

P. P. Kargaev, Anatoly A. Zhigljavsky

Publication date: 24 July 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/23590e235df73869596a5939756675b993949d40

zbMATH Keywords

asymptotic distributionpower momentminimal distanceFarey sequence of order \(n\)

Mathematics Subject Classification ID

Well-distributed sequences and other variations (11K36) Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Special sequences (11K31)

Related Items (1)

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

Cites Work

• Approximation of real numbers by rationals: some metric theorems
• The distribution of Farey points
• On consecutive Farey arcs
• The distribution of Farey points, I
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