Even positive definite unimodular quadratic forms over real quadratic fields (Q920133)

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scientific article; zbMATH DE number 4162987
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Even positive definite unimodular quadratic forms over real quadratic fields
scientific article; zbMATH DE number 4162987

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    Even positive definite unimodular quadratic forms over real quadratic fields (English)
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    1989
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    The Siegel mass formula for positive definite, even unimodular lattices over the ring of integers in a real quadratic field is stated, and the classification of such lattices of low rank is discussed for \({\mathbb{Q}}(\sqrt{5})\) and \({\mathbb{Q}}(\sqrt{2})\). The author and \textit{D. C. Hung} have completed the classification for rank 8 over \({\mathbb{Q}}(\sqrt{2})\) in a later paper [Math. Ann. 283, 367-374 (1989; Zbl 0643.10013)].
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    Siegel mass formula
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    positive definite, even unimodular lattices
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    real quadratic field
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