An elementary proof for a theorem of Thomas and Vasquez
type: Item
instance of: scholarly article
title: An elementary proof for a theorem of Thomas and Vasquez
zbMATH Open document ID: 0853.11087
author: Ryotaro Okazaki
published in: Journal of Number Theory
publication date: 1997-01-09T00:00:00Z
review text: The author looks at the group of positive units in a totally real cubic field \(F\) acting on \(\mathbb{R}^3\) and gives an elementary geometric proof for the construction of a fundamental domain for this action by \textit{E. Thomas} and \textit{A. Vasquez} [Math. Ann. 247, 1-20 (1980; Zbl 0414.14021)]. Furthermore examples of class numbers are given as well as an explicit class number formula for a totally imaginary quadratic extension of \(F\).
Mathematics Subject Classification ID: 11R27
Mathematics Subject Classification ID: 11R16
Mathematics Subject Classification ID: 11R42
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 844631
zbMATH Keywords: theorem of Thomas and Vasquez
zbMATH Keywords: group of positive units
zbMATH Keywords: totally real cubic field
zbMATH Keywords: class number formula
zbMATH Keywords: totally imaginary quadratic extension
reviewed by: Richard A. Mollin
MaRDI profile type: Publication
full work available at URL: jnth.1995.1137
OpenAlex ID: W1974811971
DOI: 10.1006/JNTH.1995.1137
description: scientific article; zbMATH DE number 844631