Lower bounds for the class number and the caliber of certain real quadratic fields
type: Item
instance of: scholarly article
title: Lower bounds for the class number and the caliber of certain real quadratic fields
zbMATH Open document ID: 0852.11061
author: Hédi Amara
published in: Tokyo Journal of Mathematics
publication date: 1996-12-05T00:00:00Z
review text: We quote the author's words: ``We give some canonical cycles of reduced ideals for the real quadratic fields \(K= \mathbb Q(\sqrt {m})\) with \(m= 4q^2+1\), \(m= q^2+4\) (\(q\) odd), \(m= q^2 +1\) (\(q\) odd) and \(m= q^2\pm 2\) (\(q\) odd). Lower bounds of the class number \(h(K)\) and the caliber \(\mathrm{Cal}(K)\) (number of reduced ideals) are given. Some of those lower bounds for the class number are obtained, by other methods in [\textit{R. A. Mollin}, Proc. Japan Acad., Ser. A 66, 109--111 (1990; Zbl 0714.11068)]''.
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 880008
zbMATH Keywords: cycles
zbMATH Keywords: class number
zbMATH Keywords: caliber
zbMATH Keywords: reduced ideals
reviewed by: K. Lakkis
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270043474
OpenAlex ID: W1998515686
DOI: 10.3836/TJM/1270043474
description: scientific article; zbMATH DE number 880008