Badly approximable numbers over imaginary quadratic fields
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Publication:5226465
DOI10.4064/aa170810-18-10zbMath1451.11073arXiv1707.07231OpenAlexW2963234957WikidataQ127626754 ScholiaQ127626754MaRDI QIDQ5226465
Publication date: 31 July 2019
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.07231
Continued fractions and generalizations (11J70) Structure of modular groups and generalizations; arithmetic groups (11F06)
Related Items (7)
Diophantine approximation in number fields and geometry of products of symmetric spaces ⋮ Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics ⋮ Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows ⋮ Purely periodic and transcendental complex continued fractions ⋮ Good’s theorem for Hurwitz continued fractions ⋮ Singular vectors and geometry at infinity of products of hyperbolic spaces ⋮ From binary Hermitian forms to parabolic cocycles of Euclidean Bianchi groups
Uses Software
Cites Work
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- Approximation properties of some complex continued fractions
- Reduction theory over quadratic imaginary fields
- Diophantine approximation on Bianchi groups
- The Euclidean algorithm in algebraic number fields
- Generators and relations for certain special linear groups
- Badly approximable vectors, curves and number fields
- Continued fraction expansions for complex numbers–-a general approach
- HERMITIAN POINTS IN MARKOV SPECTRA
- Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
- COMPLEX NUMBERS WITH BOUNDED PARTIAL QUOTIENTS
- On lattice points in n -dimensional star bodies I. Existence theorems
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