On consecutive Farey arcs
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Publication:3346395
DOI10.4064/aa-44-4-397-405zbMath0553.10011OpenAlexW1485798108MaRDI QIDQ3346395
Richard R. Hall, Gérald Tenenbaum
Publication date: 1984
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/205949
momentslimiting distributionasymptotic formulasEuler phi-functionFarey fractions of order Njoint distribution of pairs
Asymptotic results on arithmetic functions (11N37) Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Arithmetic functions in probabilistic number theory (11K65) Geometry of numbers (11H99)
Related Items (9)
Asymptotic distribution of the distance function to the Farey points ⋮ The index of a Farey sequence. ⋮ Proof of a conjecture of Kruyswijk and Meijer on the smallest denominator of rational numbers of an interval ⋮ On the distribution of index of Farey sequences ⋮ On the distribution of the Farey sequence with odd denominators ⋮ Continuous distributions arising from the Three Gap Theorem ⋮ The distribution of special subsets of the Farey sequence ⋮ A note on Farey fractions with odd denominators. ⋮ The parity of Farey denominators and the Farey index
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