Diophantine approximation in the field \(\mathbb Q(i\sqrt 2)\)
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Publication:555299
DOI10.1016/j.jnt.2011.04.002zbMath1229.11099OpenAlexW4212790727MaRDI QIDQ555299
Publication date: 22 July 2011
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2011.04.002
Continued fractions and generalizations (11J70) Markov and Lagrange spectra and generalizations (11J06)
Related Items (4)
The Apollonian structure of Bianchi groups ⋮ Intrinsic Diophantine approximation on circles and spheres ⋮ The dynamics of Super-Apollonian continued fractions ⋮ Continued fractions over non-Euclidean imaginary quadratic rings
Cites Work
- Diophantine approximation in the Eisensteinian field
- On ergodic theory of A. Schmidt's complex continued fractions over Gaussian field
- Ergodic theory for complex continued fractions
- Diophantine approximation of complex numbers
- Diophantine approximation in the field \(\mathbb{Q}(i(11^{1/2}))\)
- A generalization of a theorem of Euler for regular chains of complex quadratic irrationalities
- On metrical theory of diophantine approximation over imaginary quadratic field
- DIOPHANTINE APPROXIMATION IN $\mathbf{Q}(\sqrt{-5})$ AND $\mathbf{Q}(\sqrt{-6})$
- Farey Triangles and Farey Quadrangels in the Complex Plane.
- The metrical theory of complex continued fractions
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