Quadratic fields with noncyclic 5- or 7-class groups (Q1039643)
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scientific article; zbMATH DE number 5636947
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic fields with noncyclic 5- or 7-class groups |
scientific article; zbMATH DE number 5636947 |
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Quadratic fields with noncyclic 5- or 7-class groups (English)
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23 November 2009
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The author proves: If \(g\in\{5,7\}\) then the number of quadratic fields with absolute discriminant \(\leq x\) and ideal class group having a subgroup isomorphic to \(\mathbb{Z}/g\mathbb{Z}\times\mathbb{Z}/g\mathbb{Z}\) is \(\gg x^{\frac14}\).
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quadratic fields
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class group
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