A parametrized set of cyclic cubic fields with even class-number
type: Item
instance of: scholarly article
title: A parametrized set of cyclic cubic fields with even class-number
zbMATH Open document ID: 0582.12001
DOI: 10.1016/0022-314X(86)90072-7
author: H. J. Godwin
published in: Journal of Number Theory
publication date: 1986-01-01T00:00:00Z
review text: The author gives a parametric family of cubic cyclic fields with even class number. Other analogous families are known [\textit{H. Cohn}, Proc. Am. Math. Soc. 7, 595--598 (1956; Zbl 0071.03402 ); \textit{K. Uchida}, J. Math. Soc. Japan 26, 447--453 (1974; Zbl 0281.12007)].
Mathematics Subject Classification ID: 11R16
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 3931136
zbMATH Keywords: parametric family
zbMATH Keywords: cubic cyclic fields
zbMATH Keywords: even class number
MaRDI profile type: Publication
cites work: Q5724850
cites work: Méthodes et algorithmes pour le calcul numérique du nombre de classes et de unités des extensions cubiques cycliques de Q.
cites work: Q5794710
cites work: On Euclid's Algorithm in some Cyclic Cubic Fields
description: scientific article; zbMATH DE number 3931136