On class number formula for the real quadratic fields
type: Item
instance of: scholarly article
title: On class number formula for the real quadratic fields
zbMATH Open document ID: 1068.11072
author: Hiroki Sato
published in: Proceedings of the Japan Academy. Series A
publication date: 2005-04-04T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1116442329
review text: Let \(d\) be the discriminant of a real quadratic number field with fundamental unit \(\varepsilon\), and class number \(h\), and \(\chi\) the associated Dirichlet character. Then the author proves the class number formula \(h = [\sqrt{d}/(2 \log \varepsilon) \cdot \sum_{n=1}^{[d/2]} \chi(n)/n]\).
reviewed by: Franz Lemmermeyer
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R11
zbMATH DE Number: 2151776
zbMATH Keywords: real quadratic fields
zbMATH Keywords: class number formula
MaRDI profile type: Publication
OpenAlex ID: W2034492623
cites work: Q4101884
cites work: Q3929826
cites work: On \(L(1, \chi)\) and class number formula for the real quadratic fields
DOI: 10.3792/PJAA.80.129
description: scientific article; zbMATH DE number 2151776