Diophantine approximation in the Eisensteinian field

DOI10.1016/0022-314X(83)90040-9zbMath0514.10027OpenAlexW2086955051MaRDI QIDQ1051030

Asmus L. Schmidt

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-314x(83)90040-9

zbMATH Keywords

Markov spectrumEisenstein fieldHurwitz spectrum

Mathematics Subject Classification ID

Quadratic extensions (11R11) Continued fractions and generalizations (11J70) Approximation by numbers from a fixed field (11J17)

Related Items (8)

DIOPHANTINE APPROXIMATION IN $\mathbf{Q}(\sqrt{-5})$ AND $\mathbf{Q}(\sqrt{-6})$ ⋮ The Apollonian structure of Bianchi groups ⋮ Intrinsic Diophantine approximation on circles and spheres ⋮ Diophantine approximation in \(\mathbb{Q}(\sqrt{-30})\), \(\mathbb{Q}(\sqrt{-33})\) and \(\mathbb{Q}(\sqrt{-57})\) ⋮ DIOPHANTINE APPROXIMATION IN IMAGINARY QUADRATIC FIELDS ⋮ Diophantine approximation in the field \(\mathbb Q(i\sqrt 2)\) ⋮ Continued fractions over non-Euclidean imaginary quadratic rings ⋮ Farey polytopes and continued fractions associated with discrete hyperbolic groups

Cites Work

• On the point of accumulation of the Markov spectrum of the field \(\mathbb Q(i\sqrt D)\)
• Diophantine approximation of complex numbers
• Diophantine approximation in the field \(\mathbb{Q}(i(11^{1/2}))\)
• On c-minimal forms
• Minimum of quadratic forms with respect to Fuchsian groups. I.
• Farey Triangles and Farey Quadrangels in the Complex Plane.
• Farey section in k ( i ) and k (ρ)
• 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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