On a theorem of Scholz on the class number of quadratic fields
type: Item
instance of: scholarly article
title: On a theorem of Scholz on the class number of quadratic fields
zbMATH Open document ID: 1062.11071
published in: Proceedings of the Japan Academy. Series A
publication date: 2004-12-29T00:00:00Z
review text: Let \(K= \mathbb{Q}(\sqrt{pq})\) where \(p\) and \(q\) are distinct primes such that \(p\equiv q\pmod 4\). In the note under review, the author gives another proof of a classical result of A. Scholz, and determines the exact power of 2 dividing the class number of \(K\) using a theorem on the solvability of \(ax^2+ by^2= z^2\).
reviewed by: Claude Levesque
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R11
zbMATH DE Number: 2123822
zbMATH Keywords: class number
zbMATH Keywords: quadratic fields
zbMATH Keywords: quadratic diophantine equations
author: Fidel Nemenzo
MaRDI profile type: Publication
full work available at URL: pjaa.80.9
OpenAlex ID: W2062145565
cites work: Q3999066
cites work: Q4956108
cites work: An elementary proof of Gauss' genus theorem
DOI: 10.3792/PJAA.80.9
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description: scientific article; zbMATH DE number 2123822