DIOPHANTINE APPROXIMATION IN IMAGINARY QUADRATIC FIELDS

DOI10.1142/S1793042110003137zbMath1200.11049MaRDI QIDQ3578418

L. Ya. Vulakh

Publication date: 20 July 2010

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

zbMATH Keywords

Diophantine approximationbinary Hermitian formshyperbolic geometryarithmetic Fuchsian groups

Mathematics Subject Classification ID

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

Related Items (2)

Diophantine approximation in \(\mathbb{Q}(\sqrt{-30})\), \(\mathbb{Q}(\sqrt{-33})\) and \(\mathbb{Q}(\sqrt{-57})\) ⋮ HERMITIAN POINTS IN MARKOV SPECTRA

Cites Work

• Diophantine approximation in the Eisensteinian field
• Diophantine approximation of complex numbers
• Diophantine approximation in the field \(\mathbb{Q}(i(11^{1/2}))\)
• The Markov spectra for triangle groups
• Über die Approximation einer komplexen Zahl durch Zahlen des Körpers \(K(i)\). II.
• 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
• THE MARKOV SPECTRA FOR COCOMPACT FUCHSIAN GROUPS
• Farey polytopes and continued fractions associated with discrete hyperbolic groups
• Reflections in extended Bianchi groups
• The Markov spectra for Fuchsian groups
• DIOPHANTINE APPROXIMATION IN $\mathbf{Q}(\sqrt{-5})$ AND $\mathbf{Q}(\sqrt{-6})$
• Farey Triangles and Farey Quadrangels in the Complex Plane.
• Diophantische Approximationen in imaginär quadratischen Zahlkörpern

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