On the Lenstra constant associated to the Rosen continued fractions

DOI10.4171/JEMS/189zbMath1205.11091arXiv0705.3756MaRDI QIDQ845285

Hitoshi Nakada

Publication date: 28 January 2010

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3756

zbMATH Keywords

geodesic flowscontinued fractionsHecke group

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Metric theory of continued fractions (11K50)

Related Items (14)

An entropy problem of the \(\alpha \)-continued fraction maps ⋮ CONTINUED FRACTIONS FOR A CLASS OF TRIANGLE GROUPS ⋮ On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields ⋮ Distribution of approximants and geodesic flows ⋮ Natural extensions for Nakada's \(\alpha\)-expansions: descending from \(1\) to \(g^2\) ⋮ Transcendence with Rosen continued fractions ⋮ On the ergodic theory of maps associated with the nearest integer complex continued fractions over imaginary quadratic fields ⋮ On the Legendre constant of \(\alpha \)-continued fractions ⋮ Unnamed Item ⋮ Tong's spectrum for Rosen continued fractions ⋮ On the Legendre and the Lenstra constants for complex continued fractions introduced by J. Hurwitz ⋮ On the construction of the natural extension of the Hurwitz complex continued fraction map ⋮ Natural extensions for \(\alpha \)-Rosen continued fractions ⋮ ON GOOD APPROXIMATIONS AND THE BOWEN–SERIES EXPANSION

Cites Work

• Diophantine approximation on hyperbolic Riemann surfaces
• Natural extensions for the Rosen fractions
• Unnamed Item
• Unnamed Item
• Unnamed Item

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