Quadratic irrationals, ambiguous classes and symmetry in real quadratic fields (Q1344798)
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scientific article; zbMATH DE number 723973
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic irrationals, ambiguous classes and symmetry in real quadratic fields |
scientific article; zbMATH DE number 723973 |
Statements
Quadratic irrationals, ambiguous classes and symmetry in real quadratic fields (English)
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14 September 1995
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Let \(C\) be an ideal class of a real quadratic field. A criterion for \(C\) to contain at most one ambiguous ideal is given. The proof uses continued fractions. For quadratic orders in general, see the reviewer, \textit{P. Kaplan}, \textit{K. Williams}, and \textit{Y. Yamamoto} [Einseign. Math., II. Ser. 37, 263-292 (1991; Zbl 0756.11030)].
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ideal class
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real quadratic field
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ambiguous ideal
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continued fractions
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