Defining polynomial of the first layer of anti-cyclotomic \(\mathbb{Z}_3\)-extension of imaginary quadratic fields of class number 1
type: Item
instance of: scholarly article
title: Defining polynomial of the first layer of anti-cyclotomic \(\mathbb{Z}_3\)-extension of imaginary quadratic fields of class number 1
zbMATH Open document ID: 1050.11093
author: Jae Moon Kim
author: Jangheon Oh
published in: Proceedings of the Japan Academy. Series A
publication date: 2004-10-25T00:00:00Z
review text: By a straightforward calculation, the authors determine the first layer of the anti-cyclotomic \(\mathbb Z_3\)-extensions of the complex quadratic number fields with class number one.
reviewed by: Franz Lemmermeyer
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 11R32
zbMATH DE Number: 2109882
zbMATH Keywords: Iwasawa theory
zbMATH Keywords: anti-cyclotomic \(\mathbb Z_3\)-extensions
zbMATH Keywords: Kummer extension
MaRDI profile type: Publication
full work available at URL: pjaa.80.18
OpenAlex ID: W1989016483
cites work: Advanced Topics in Computional Number Theory
cites work: The first layer of \({\mathbb{Z}}^2_2\)-extension over imaginary quadratic fields
cites work: Q3943047
DOI: 10.3792/PJAA.80.18
description: scientific article; zbMATH DE number 2109882