The number of genera of arbitrary orders in real-quadratic number fields (Q1924897)
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scientific article; zbMATH DE number 938524
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of genera of arbitrary orders in real-quadratic number fields |
scientific article; zbMATH DE number 938524 |
Statements
The number of genera of arbitrary orders in real-quadratic number fields (English)
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22 November 1996
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Let \(D>0\) be a quadratic discriminant (i.e., \(D\) is not a square and \(D \equiv 0\) or 1 mod 4). Let \(g(D)\) resp. \(g^+ (D)\) by the genus number resp. the genus number in the narrow sense. The author proves formulas for \(g(D)\) and \(g^+ (D)\) in an elementary way using the language of binary quadratic forms.
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arbitrary orders
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real quadratic number fields
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genus number in the narrow sense
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binary quadratic forms
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