Indivisibility of relative class numbers of totally imaginary quadratic extensions and vanishing of these relative Iwasawa invariants
type: Item
instance of: scholarly article
title: Indivisibility of relative class numbers of totally imaginary quadratic extensions and vanishing of these relative Iwasawa invariants
zbMATH Open document ID: 1442.11148
author: Yuuki Takai
published in: Journal of Number Theory
publication date: 2019-01-18T00:00:00Z
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11F33
Mathematics Subject Classification ID: 11F37
Mathematics Subject Classification ID: 11F41
zbMATH DE Number: 7003387
zbMATH Keywords: relative class numbers
zbMATH Keywords: indivisibility
zbMATH Keywords: relative Iwasawa invariants
zbMATH Keywords: modular forms of half-integral weight
zbMATH Keywords: Hilbert modular forms
Wikidata QID: Q114157330
MaRDI profile type: Publication
full work available at URL: j.jnt.2017.09.024
OpenAlex ID: W2761084253
cites work: A note on basic Iwasawa λ-invariants of imaginary quadratic fields and congruence of modular forms
cites work: Q3222942
cites work: Class Groups of Number Fields: Numerical Heuristics
cites work: Density of discriminants of cubic extensions.
cites work: On the density of discriminants of cubic fields. II
cites work: Iwasawa invariants
cites work: On quadratic extensions of number fields and Iwasawa invariants for basic \(\mathbb{Z}_3\)-extensions
cites work: Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication
cites work: Indivisibility of class numbers of totally imaginary quadratic extensions and their Iwasawa invariants
cites work: On modular forms of half integral weight
cites work: On Eisenstein series of half-integral weight
cites work: On Hilbert modular forms of half-integral weight
cites work: On the Fourier coefficients of Hilbert modular forms of half-integral weight
cites work: Q3412521
cites work: Q4723820
cites work: Sur certains groupes d'opérateurs unitaires
cites work: On class groups of imaginary quadratic fields
DOI: 10.1016/J.JNT.2017.09.024
description: scientific article; zbMATH DE number 7003387