Diophantine approximation in \(\mathbb{Q}(\sqrt{-30})\), \(\mathbb{Q}(\sqrt{-33})\) and \(\mathbb{Q}(\sqrt{-57})\)

DOI10.7169/facm/2012.47.2.5zbMath1273.11105OpenAlexW2072304353MaRDI QIDQ1944653

L. Ya. Vulakh

Publication date: 26 March 2013

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1356012915

zbMATH Keywords

Bianchi groupsDiophantine approximationLagrange spectrumMarkoff spectrumFarey polytopes

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Markov and Lagrange spectra and generalizations (11J06)

Cites Work

• Diophantine approximation in the Eisensteinian field
• Diophantine approximation of complex numbers
• Diophantine approximation in the field \(\mathbb{Q}(i(11^{1/2}))\)
• Diophantische Approximationen in imaginären quadratischen Zahlkörpern, insbesondere im Körper \(K(i\sqrt 2)\)
• Diophantine approximation on Bianchi groups
• Generators and relations for certain special linear groups
• MINIMA OF BINARY INDEFINITE HERMITIAN FORMS
• HERMITIAN POINTS IN MARKOV SPECTRA
• DIOPHANTINE APPROXIMATION IN IMAGINARY QUADRATIC FIELDS
• THE MARKOV SPECTRA FOR COCOMPACT FUCHSIAN GROUPS
• Classification of Maximal Fuchsian Subsgroups of Some Bianchi Groups
• Farey polytopes and continued fractions associated with discrete hyperbolic groups
• Reflections in extended Bianchi groups
• Diophantine Approximation in R n
• On Hurwitz Constants for Fuchsian Groups
• Fuchsian Subgroups of Bianchi Groups
• DIOPHANTINE APPROXIMATION IN $\mathbf{Q}(\sqrt{-5})$ AND $\mathbf{Q}(\sqrt{-6})$
• Farey Triangles and Farey Quadrangels in the Complex Plane.
• Exponents of the class groups of complex quadratic fields
• Diophantische Approximationen in imaginär quadratischen Zahlkörpern
• Sur l'approximation des nombres complexes par les nombres des corps imaginaires quadratiques dénués d'idéaux non principaux particulièrement lorsque vaut l'algorithme d'Euclide
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