Diophantine approximation in the field \(\mathbb Q(i\sqrt 2)\)
type: Item
instance of: scholarly article
title: Diophantine approximation in the field \(\mathbb Q(i\sqrt 2)\)
zbMATH Open document ID: 1229.11099
author: Asmus L. Schmidt
published in: Journal of Number Theory
publication date: 2011-07-22T00:00:00Z
review text: The author reprises his beautiful use of Farey sets and their duals, introduced in his [Math. Scand. 21, 241--295 (1967; Zbl 0172.06601)] to in particular determine the smallest limit point in the approximation spectrum of the field of the title.
reviewed by: Thomas A. Schmidt
Mathematics Subject Classification ID: 11J06
Mathematics Subject Classification ID: 11J70
zbMATH DE Number: 5931168
zbMATH Keywords: approximation spectrum
zbMATH Keywords: Markoff spectrum
zbMATH Keywords: continued fraction algorithm
MaRDI profile type: Publication
full work available at URL: j.jnt.2011.04.002
OpenAlex ID: W4212790727
cites work: On ergodic theory of A. Schmidt's complex continued fractions over Gaussian field
cites work: On metrical theory of diophantine approximation over imaginary quadratic field
cites work: The metrical theory of complex continued fractions
cites work: A generalization of a theorem of Euler for regular chains of complex quadratic irrationalities
cites work: Farey Triangles and Farey Quadrangels in the Complex Plane.
cites work: Diophantine approximation of complex numbers
cites work: Diophantine approximation in the field \(\mathbb{Q}(i(11^{1/2}))\)
cites work: Ergodic theory for complex continued fractions
cites work: Diophantine approximation in the Eisensteinian field
cites work: Q3333121
cites work: Q3140900
cites work: Q5648415
cites work: DIOPHANTINE APPROXIMATION IN $\mathbf{Q}(\sqrt{-5})$ AND $\mathbf{Q}(\sqrt{-6})$
DOI: 10.1016/J.JNT.2011.04.002
description: scientific article; zbMATH DE number 5931168