A note on Farey fractions with odd denominators.

DOI10.1016/S0022-314X(02)00026-4zbMath1056.11009arXiv0907.2168WikidataQ114122663 ScholiaQ114122663MaRDI QIDQ1869784

Alan K. Haynes

Publication date: 28 April 2003

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

Full work available at URL: https://arxiv.org/abs/0907.2168

zbMATH Keywords

Farey fractionsodd denominators

Mathematics Subject Classification ID

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

Related Items (8)

Discrepancy of fractions with divisibility constraints ⋮ A parity problem on the free path length of a billiard in the unit square with pockets ⋮ On sums over the Möbius function and discrepancy of fractions ⋮ \(k\)-moments of distances between centers of Ford circles ⋮ On the distribution of the Farey sequence with odd denominators ⋮ 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

• Distribution of lattice points visible from the origin
• The h-spacing distribution between Farey points
• On consecutive Farey arcs
• On Kloosterman's sum
• On Some Exponential Sums
• Unnamed Item

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