Orders in quadratic fields. II
type: Item
instance of: scholarly article
title: Orders in quadratic fields. II
zbMATH Open document ID: 0809.11063
author: V. Pereyra
published in: Proceedings of the Japan Academy. Series A
publication date: 1994-08-08T00:00:00Z
review text: This work continues part I with the same title [ibid., No. 3, 45-48 (1993; Zbl 0795.11056)] and also complements the work of the authors where they dealt with the real case [Reduced ideals, the divisor function, continued fractions and class numbers of real quadratic fields, to appear in Publ. Math.]. Namely, they provide a sharp lower bound for the class number of any complex quadratic order, which is a generalization of the Rabinowitsch result for the class number one problem. [For part III, see the paper reviewed below].
reviewed by: Hideo Yokoi
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 597341
zbMATH Keywords: sharp lower bound
zbMATH Keywords: class number
zbMATH Keywords: complex quadratic order
MaRDI profile type: Publication
full work available at URL: pjaa.69.368
OpenAlex ID: W4246772557
cites work: A key-exchange system based on imaginary quadratic fields
cites work: On the Conjecture of Birch and Swinnerton-Dyer for an Elliptic Curve of Rank 3
cites work: Q3324081
cites work: Q3947745
cites work: Orders in quadratic fields. I
cites work: Q4294187
cites work: Q3344283
cites work: On a lower bound for the class number of an imaginary quadratic field
DOI: 10.3792/PJAA.69.368
description: scientific article; zbMATH DE number 597341