Continued fraction expansions for complex numbers–-a general approach

DOI10.4064/aa171-4-4zbMath1341.11038arXiv1509.04500OpenAlexW2964008279MaRDI QIDQ3460233

Shrikrishna G. Dani

Publication date: 6 January 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04500

zbMATH Keywords

algorithmsGaussian integersLagrange theoremEisenstein integerscontinued fraction expansions for complex numbers

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Diophantine inequalities (11J25)

Related Items (8)

Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics ⋮ Singular vectors on manifolds over totally real number fields ⋮ Convergence of improper Iwasawa continued fractions ⋮ Purely periodic and transcendental complex continued fractions ⋮ Badly approximable numbers over imaginary quadratic fields ⋮ Necessary and sufficient conditions for convergence of integer continued fractions ⋮ Continued fractions over non-Euclidean imaginary quadratic rings ⋮ From binary Hermitian forms to parabolic cocycles of Euclidean Bianchi groups

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