Abstract

We present a theory of classifying quadratic forms over an algebraic number field which is a reformulation of Eichler's methods and different from the traditional theory of Hasse. As applications we determine all possible values of the discriminant of an integer-valued quadratic form over Q with a given dimension and index, and also the number of genera of such forms. We also investigate purely algebraic problems on the Clifford groups and similitudes of quadratic forms.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1521-1552
Launched on MUSE
2006-12-11
Open Access
No
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