Diophantine approximation in \(\mathbb{Q}(\sqrt{-30})\), \(\mathbb{Q}(\sqrt{-33})\) and \(\mathbb{Q}(\sqrt{-57})\)
type: Item
instance of: scholarly article
title: Diophantine approximation in \(\mathbb{Q}(\sqrt{-30})\), \(\mathbb{Q}(\sqrt{-33})\) and \(\mathbb{Q}(\sqrt{-57})\)
zbMATH Open document ID: 1273.11105
author: L. Ya. Vulakh
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 2013-03-26T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.facm/1356012915
review text: The author continues his successful generalization of the geometric approach of L.~R.~Ford to determine initial portions of the Lagrange and Markoff spectra of imaginary quadratic fields. The author's approach is to use his Farey polygons associated to the appropriate Bianchi group to reduce the problem to studying the (discrete part of the) Markoff spectrum of one of its maximal Fuchsian subgroups.
reviewed by: Thomas A. Schmidt
Mathematics Subject Classification ID: 11J06
Mathematics Subject Classification ID: 11F06
zbMATH DE Number: 6148883
zbMATH Keywords: Diophantine approximation
zbMATH Keywords: Lagrange spectrum
zbMATH Keywords: Markoff spectrum
zbMATH Keywords: Bianchi groups
zbMATH Keywords: Farey polytopes
MaRDI profile type: Publication
OpenAlex ID: W2072304353
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DOI: 10.7169/FACM/2012.47.2.5
description: scientific article; zbMATH DE number 6148883