Orders in quadratic fields. I
type: Item
instance of: scholarly article
title: Orders in quadratic fields. I
zbMATH Open document ID: 0795.11056
published in: Proceedings of the Japan Academy. Series A
publication date: 1994-01-19T00:00:00Z
review text: The author provides a sufficient condition for the class group of a quadratic order to be generated by ambiguous ideals in terms of certain prime-producing quadratic polynomials. He conjectures that this sufficient condition is also necessary. In a sequel to this paper [ibid. 69, 368-371 (1993)], he also provides a lower bound for the class number of arbitrary complex quadratic order.
reviewed by: Hideo Yokoi
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11R54
Mathematics Subject Classification ID: 11N32
zbMATH DE Number: 488095
zbMATH Keywords: ideal class group
zbMATH Keywords: quadratic orders
zbMATH Keywords: ambiguous ideals
zbMATH Keywords: prime-producing quadratic polynomials
author: Richard A. Mollin
MaRDI profile type: Publication
full work available at URL: pjaa.69.45
OpenAlex ID: W4230814771
cites work: Q5610449
cites work: Continued fractions and real quadratic fields
cites work: Class Numbers of Real Quadratic Fields, Continued Fractions, Reduced Ideals, Prime-Producing Quadratic Polynomials and Quadratic Residue Covers
cites work: Q4203382
DOI: 10.3792/PJAA.69.45
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description: scientific article; zbMATH DE number 488095