Proof of class number formulae by machine
type: Item
instance of: scholarly article
title: Proof of class number formulae by machine
zbMATH Open document ID: 0949.11056
DOI: 10.1007/BF02879028
author: Guangheng Ji
author: Hongwen Lu
published in: Science in China. Series A
publication date: 2000-12-06T00:00:00Z
review text: Let \(p=4N^2+1\) be a prime number, \(\;K={\mathbb Q}(\sqrt{p})\;\) a real quadratic number field over the rationals \( {\mathbb Q}\) . Assuming the ideal class number of \( K \) is one, the authors give class number formulae in \(N\) for the imaginary quadratic fields \(\;{\mathbb Q}(\sqrt{-pq})\;\) with \(\;q=3,\;7,\;11,\;19,\;23,\;31,\;43\;\) and \(47\). This work is based on the second author's paper [ Chin. Sci. Bull. 36, 1145-1147 (1991; Zbl 0764.11044)], using a computer LEO386/25.
reviewed by: Xianke Zhang
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11-04
Mathematics Subject Classification ID: 11Y40
zbMATH DE Number: 1329986
zbMATH Keywords: continued fraction
zbMATH Keywords: machine computations
zbMATH Keywords: class number formulae
zbMATH Keywords: imaginary quadratic fields
Wikidata QID: Q123142483
MaRDI profile type: Publication
cites work: Gauss’ class number problem for imaginary quadratic fields
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cites work: Q3861503
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cites work: Hirzebruch sum and class number of the quadratic fields
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description: scientific article; zbMATH DE number 1329986