Badly approximable numbers over imaginary quadratic fields

DOI10.4064/aa170810-18-10zbMath1451.11073arXiv1707.07231OpenAlexW2963234957WikidataQ127626754 ScholiaQ127626754MaRDI QIDQ5226465

Robert Hines

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

zbMATH Keywords

Bianchi groupsbinary Hermitian formscontinued fractions

Mathematics Subject Classification ID

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

• MathOverflow

Cites Work

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• 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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