Solution of the class number two problem for cyclotomic fields
type: Item
instance of: scholarly article
title: Solution of the class number two problem for cyclotomic fields
zbMATH Open document ID: 0288.12005
DOI: 10.1007/BF01425560
author: John Myron Masley
published in: Inventiones Mathematicae
publication date: 1975-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/142325
review text: It is shown that the only cyclotomic fields of the form \(\mathbb Q(e^{2\pi i/m})\) which have class number two are \(\mathbb Q(e^{2\pi i/39})\) and \(\mathbb Q(e^{2\pi i/56})\). Methods are the same as used in solving the class number one problem [the author and \textit{H. L. Montgomery}, J. Reine Angew. Math. 286/287, 248--256 (1976; Zbl 0335.12013)].
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R18
Mathematics Subject Classification ID: 11R42
zbMATH DE Number: 3451949
MaRDI profile type: Publication
cites work: Linear forms in the logarithms of algebraic numbers
cites work: Imaginary quadratic fields with class number 2
cites work: On a fundamental inequality in number theory
cites work: Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper
cites work: A Characterization of Algebraic Number Fields with Class Number Two
cites work: Q5811275
cites work: A note on class numbers of algebraic number fields
cites work: A Note on Ideal Class Groups
cites work: Q4101931
cites work: Notes on small class numbers
cites work: Q5597002
cites work: A complete determination of the complex quadratic fields of class-number one
cites work: A transcendence theorem for class-number problems
OpenAlex ID: W2058970928
description: scientific article; zbMATH DE number 3451949