The classes of some positive definite unimodular lattices over Z[\(\sqrt{3}]\) and Z[\(\sqrt{6}]\) (Q1824651)
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scientific article; zbMATH DE number 4118445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The classes of some positive definite unimodular lattices over Z[\(\sqrt{3}]\) and Z[\(\sqrt{6}]\) |
scientific article; zbMATH DE number 4118445 |
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The classes of some positive definite unimodular lattices over Z[\(\sqrt{3}]\) and Z[\(\sqrt{6}]\) (English)
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1988
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By the Kneser neighbour method (for the prime ideal over 3) the author finds that the genus of \(<1,1,1,\epsilon >\) resp. \(<1,1,\epsilon,\epsilon >\), \(\epsilon\) being the fundamental unit, has class number 3 resp. 2 over \({\mathbb{Q}}(\sqrt{3})\) and class number 6 over \({\mathbb{Q}}(\sqrt{6})\).
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positive definite quadratic form
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class number
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Kneser neighbour method
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0.9325613
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0.89978266
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