Lower rational approximations and Farey staircases

zbMATH Open1545.11018MaRDI QIDQ6542794

David Harry Richman

Publication date: 23 May 2024

Published in: Integers (Search for Journal in Brave)

zbMATH Keywords

floor functionFarey staircaseslower rational approximations

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Convergence and divergence of series and sequences (40A05) Continued fractions and generalizations (11J70) Arithmetic functions; related numbers; inversion formulas (11A25) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Cites Work

• Title not available (Why is that?)
• A scaling property of Farey fractions
• Discrepancy of Farey sequences
• The distribution of Farey points
• Products of Farey Fractions
• Curious Bounds for Floor Function Sums
• Farey series and the Riemann hypothesis
• On Some Generalizations to Floor Function Identities of Ramanujan
• A sum involving the greatest-integer function

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