Iwasawa invariants of real abelian number fields
type: Item
instance of: scholarly article
title: Iwasawa invariants of real abelian number fields
zbMATH Open document ID: 0851.11063
author: Shu-Leung Tang
published in: Journal of Number Theory
publication date: 1996-11-25T00:00:00Z
review text: In this paper the author presents a criterion for the vanishing of the Iwasawa \(\lambda\)-invariant for the \(\mathbb{Z}_p\)-extension of a real abelian number field \(k\), where \(p\) is an odd prime. Using this criterion the following theorem (5.1) is proved: ``For \(m = 295, 397, 745\), or 1738, the \(\lambda\)-invariant \(\lambda\) of the cyclotomic \(\mathbb{Z}_3\)-extension of \(\mathbb{Q} (\sqrt m)\) is zero''.
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 11R20
zbMATH DE Number: 874185
zbMATH Keywords: Iwasawa invariants
zbMATH Keywords: \(\mathbb{Z}_ p\)-extension
zbMATH Keywords: real abelian number field
reviewed by: Ladislav Skula
MaRDI profile type: Publication
full work available at URL: jnth.1996.0023
OpenAlex ID: W2090347010
DOI: 10.1006/JNTH.1996.0023
description: scientific article; zbMATH DE number 874185