Quadratic fields with cyclic 2-class groups (Q1932383)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic fields with cyclic 2-class groups |
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Quadratic fields with cyclic 2-class groups (English)
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18 January 2013
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The authors prove that there are infinitely many complex quadratic fields whose 2-class groups are cyclic of order \(2^k\) for any natural number \(k\). The methods used employ the circle method with an algebraic criterion for a complex quadratic ideal class group to be a square.
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circle method
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genus theory
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ideal class groups
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quadratic fields
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