The Markov spectra for triangle groups

DOI10.1006/jnth.1997.2181zbMath0883.11031OpenAlexW1988399498MaRDI QIDQ1376251

L. Ya. Vulakh

Publication date: 18 December 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2181

zbMATH Keywords

Fuchsian groupternary quadratic formMarkoff spectrumHecke group

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Markov and Lagrange spectra and generalizations (11J06)

Related Items (9)

LOW HEIGHT GEODESICS ON $\Gamma^3 \backslash \mathcal{H}$: HEIGHT FORMULAS AND EXAMPLES ⋮ McShane's identity, using elliptic elements ⋮ Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces ⋮ DIOPHANTINE APPROXIMATION IN IMAGINARY QUADRATIC FIELDS ⋮ THE MARKOV SPECTRA FOR COCOMPACT FUCHSIAN GROUPS ⋮ Units in some families of algebraic number fields ⋮ The Markov spectra for Fuchsian groups ⋮ Geometry and Markoff’s spectrum for ℚ(𝕚), I ⋮ Lagrange spectra in Teichmüller dynamics via renormalization

Cites Work

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• THE MARKOV SPECTRA FOR COCOMPACT FUCHSIAN GROUPS
• Diophantine approximation on Hecke groups
• The Hurwitz Constant and Diophantine Approximation on Hecke Groups
• The Markoff Spectrum in the Hecke Group G ₅
• On Hurwitz Constants for Fuchsian Groups

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