Hecke groups and continued fractions

DOI10.1017/S0004972700012120zbMath0754.11012OpenAlexW2149245246MaRDI QIDQ3993935

Thomas A. Schmidt, David Rosen

Publication date: 13 August 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700012120

zbMATH Keywords

Hecke groupsclosed geodesicsperiodperiodic continued fractions\(\lambda\)-continued fractionsLegendre's constantPell's equation in quadratic extensions

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (8)

An entropy problem of the \(\alpha \)-continued fraction maps ⋮ Length spectra of the Hecke triangle groups ⋮ On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields ⋮ Unnamed Item ⋮ A Gauss-Kuzmin theorem for the Rosen fractions ⋮ Subgroups of some Fuchsian groups defined by two linear congruences ⋮ ON GOOD APPROXIMATIONS AND THE BOWEN–SERIES EXPANSION ⋮ Symbolic dynamics for the modular surface and beyond

Cites Work

• Chaos in classical and quantum mechanics
• Über die Heckeschen Gruppen \(G(\lambda)\). II
• On the metrical transitivity of the geodesics on closed surfaces of constant negative curvature
• Eine Bemerkung zur Hecke-Gruppe G(\(\lambda\))
• A class of continued fractions associated with certain properly discontinuous groups
• The Modular Surface and Continued Fractions
• The substitutions of the Hecke group?(2cos?/5)
• The Hurwitz Constant and Diophantine Approximation on Hecke Groups
• Geodesic flows, interval maps, and symbolic dynamics
• The Local Hurwitz Constant and Diophantine Approximation on Hecke Groups

This page was built for publication: Hecke groups and continued fractions