On linear congruence relations between class numbers of quadratic fields
type: Item
instance of: scholarly article
title: On linear congruence relations between class numbers of quadratic fields
zbMATH Open document ID: 0693.12006
DOI: 10.1016/0022-314X(90)90142-E
author: Tsuyoshi Uehara
published in: Journal of Number Theory
publication date: 1990-01-01T00:00:00Z
review text: The author finds again general congruences concerning class numbers and units of fields \(\mathbb{Q}(\sqrt{\pm d})\), \(d\mid 2m\), \(m\) given. The results are identical with those of the reviewer [Acta Arith. 52, No. 2, 147--162 (1989; Zbl 0618.12004)], but the author explains with many details how these congruences contain many previous ones (i.e. those of Gras, Hardy-Williams, Hikita, Kaplan, Kaplan-Williams, Kudo, Lang, Lang and Schertz, Williams) [for other references, see the previous review, Zbl 0693.12005)].
reviewed by: Georges Gras
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R27
zbMATH DE Number: 4134169
zbMATH Keywords: class numbers
zbMATH Keywords: congruences
zbMATH Keywords: quadratic fields
zbMATH Keywords: units
MaRDI profile type: Publication
cites work: Relations congruentielles linéaires entre nombres de classes de corps quadratiques
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cites work: Q5792522
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description: scientific article; zbMATH DE number 4134169