Farey Triangles and Farey Quadrangels in the Complex Plane.

DOI10.7146/math.scand.a-10863zbMath0172.06601OpenAlexW2531391902MaRDI QIDQ5559665

Asmus L. Schmidt

Publication date: 1967

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166023

zbMATH Keywords

number theory

Related Items (17)

Regular chains for equivalent complex irrationals ⋮ DIOPHANTINE APPROXIMATION IN $\mathbf{Q}(\sqrt{-5})$ AND $\mathbf{Q}(\sqrt{-6})$ ⋮ The geometry of Gaussian integer continued fractions ⋮ The Apollonian structure of Bianchi groups ⋮ Geodesic Gaussian integer continued fractions ⋮ Markov and Lagrange spectra (survey of the literature) ⋮ Diophantine approximation in \(\mathbb{Q}(\sqrt{-30})\), \(\mathbb{Q}(\sqrt{-33})\) and \(\mathbb{Q}(\sqrt{-57})\) ⋮ The Farey octahedron graph, the Poincaré polyhedron theorem and Gaussian integer continued fractions ⋮ DIOPHANTINE APPROXIMATION IN IMAGINARY QUADRATIC FIELDS ⋮ Farey nets and multidimensional continued fractions ⋮ Diophantine approximation in the field \(\mathbb Q(i\sqrt 2)\) ⋮ Diophantine approximation of complex numbers ⋮ Diophantine approximation in the field \(\mathbb{Q}(i(11^{1/2}))\) ⋮ The dynamics of Super-Apollonian continued fractions ⋮ Metrical Diophantine approximation for quaternions ⋮ Diophantine approximation in the Eisensteinian field ⋮ Farey polytopes and continued fractions associated with discrete hyperbolic groups

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