A note on the class-number of real quadratic fields with prime discriminants (Q1185159)
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scientific article; zbMATH DE number 37715
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the class-number of real quadratic fields with prime discriminants |
scientific article; zbMATH DE number 37715 |
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A note on the class-number of real quadratic fields with prime discriminants (English)
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28 June 1992
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The author continues his study of what he calls \(p\)-invariants for quadratic fields \(\mathbb Q(\sqrt p)=K\). In particular he provides some specialized results for the case where \(K\) is of Richaud-Degert (R-D) type. He concludes the paper with examples and a conjecture on R-D types which may be possible to answer, using the techniques given by the reviewer and \textit{H. C. Williams} to solve and completely generalize Yokoi's results (for his earlier definition of \(p\)-invariants) in [Proc. Japan Acad., Ser. A 66, No. 6, 141--145 (1990; Zbl 0705.11060)].
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class-number of real quadratic fields
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prime discriminants
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Richaud-Degert type
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\(p\)-invariants
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