Expected value of the smallest denominator in a random interval of fixed radius

DOI10.1142/s1793042123500689zbMath1528.11061arXiv2109.12668OpenAlexW4321015059MaRDI QIDQ6107938

Alan K. Haynes, Huayang Chen

Publication date: 28 June 2023

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

Full work available at URL: https://arxiv.org/abs/2109.12668

zbMATH Keywords

Diophantine approximationFarey fractions

Mathematics Subject Classification ID

Metric theory (11J83) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Related Items (1)

Proof of a conjecture of Kruyswijk and Meijer on the smallest denominator of rational numbers of an interval

Cites Work

• Birkhoff averages and rotational invariant circles for area-preserving maps
• On the Distribution of Small Denominators in the Farey Series of Order N
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Expected value of the smallest denominator in a random interval of fixed radius