Diophantine approximation on Bianchi groups
type: Item
instance of: scholarly article
title: Diophantine approximation on Bianchi groups
zbMATH Open document ID: 0838.11027
author: L. Ya. Vulakh
published in: Journal of Number Theory
publication date: 1996-04-17T00:00:00Z
review text: The author uses techniques which go back to L. Ford to give an upper bound on the Hurwitz constants for the Bianchi groups, \(\text{PSL} (2,\mathbb{Q}(\sqrt {-d}))\) with \(d\) a positive integer. The Hurwitz constant is the supremum of the Lagrange values, thus it gives a measurement of how well one can approximate complex numbers by elements of the orbit of infinity under the particular group in question. The geometric approach is clearly explained and expertly applied in this well-written paper.
reviewed by: Thomas A. Schmidt
Mathematics Subject Classification ID: 11F06
Mathematics Subject Classification ID: 20H10
Mathematics Subject Classification ID: 11J06
zbMATH DE Number: 809108
zbMATH Keywords: diophantine approximation
zbMATH Keywords: Hurwitz constants for Bianchi groups
zbMATH Keywords: upper bound
MaRDI profile type: Publication
full work available at URL: jnth.1995.1102
OpenAlex ID: W2069835542
DOI: 10.1006/JNTH.1995.1102
description: scientific article; zbMATH DE number 809108