A note on quadratic fields in which a fixed prime number splits completetly. III

DOI10.3792/pjaa.75.176zbMath0963.11062OpenAlexW2050676767MaRDI QIDQ1976864

Humio Ichimura

Publication date: 3 April 2001

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.75.176

zbMATH Keywords

real quadratic fields\(abc\) conjectureideal class

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Related Items (2)

Biographical Sketch of Professor Humio Ichimura ⋮ Note on the class numbers of certain real quadratic fields

Cites Work

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• Diophantine approximations and value distribution theory
• Real quadratic fields with class numbers divisible by \(n\)
• A note on quadratic fields in which a fixed prime number splits completely. II
• A note on quadratic fields in which a fixed prime number splits completely
• On the Insolubility of a Class of Diophantine Equations and the Nontriviality of the Class Numbers of Related Real Quadratic Fields of Richaud-Degert Type
• On the class-number of the maximal real subfield of a cyclotomic field.

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