On the distribution of the Farey sequence with odd denominators

DOI10.1307/mmj/1070919560zbMath1053.11012arXivmath/0201046OpenAlexW1964100313MaRDI QIDQ1432730

Florin P. Boca, Alexandru Zaharescu, Cristian Cobeli

Publication date: 15 June 2004

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201046

zbMATH Keywords

Farey fractionsdistribution of rationals

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Related Items (7)

Discrepancy of fractions with divisibility constraints ⋮ A parity problem on the free path length of a billiard in the unit square with pockets ⋮ On the distribution of index of Farey sequences ⋮ On sums over the Möbius function and discrepancy of fractions ⋮ On the index of fractions with square-free denominators in arithmetic progressions ⋮ The distribution of special subsets of the Farey sequence ⋮ The parity of Farey denominators and the Farey index

Cites Work

• The index of a Farey sequence.
• Distribution of lattice points visible from the origin
• A note on Farey fractions with odd denominators.
• A conjecture of R. R. Hall on Farey points
• The h-spacing distribution between Farey points
• An Asymptotic Formula in the Theory of Numbers
• On consecutive Farey arcs
• On consecutive Farey arcs II
• On the index of Farey sequences
• A Note on Farey Series
• The distribution of Farey points, I
• On Some Exponential Sums
• On the distribution of Farey fractions and hyperbolic lattice points

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