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Even positive definite unimodular quadratic forms over real quadratic fields. (English) Zbl 0708.11023
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 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)].
Reviewer: H.G.Quebbemann

##### MSC:
 1.1e+13 Quadratic forms over global rings and fields 1.1e+42 Class numbers of quadratic and Hermitian forms
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