Ternary quadratic forms over number fields with small class number (Q898821)
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scientific article; zbMATH DE number 6522682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ternary quadratic forms over number fields with small class number |
scientific article; zbMATH DE number 6522682 |
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Ternary quadratic forms over number fields with small class number (English)
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21 December 2015
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The authors use the correspondence of ternary quadratic forms over number fields with quaternion orders for the enumeration of all positive definite ternary quadratic forms with class number 1 or 2 over totally real number fields. The method is to enumerate all definite quaternion orders of type number 1 or 2 over totally real number fields using Eichler's mass formula. Furthermore, all definite quaternion orders of ideal class number 1 or 2 are listed.
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ternary quadratic forms
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class numbers
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quaternion orders
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type numbers
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