Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Quadratic forms with cube-free discriminant

Author: Donald G. James
Journal: Proc. Amer. Math. Soc. 110 (1990), 45-52
MSC: Primary 11E12
MathSciNet review: 1027095
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Abstract: Formulas are given for the number of genera of $ {\mathbf{Z}}$-lattices with rank $ n \geq 3$, signature $ s$, and cube-free discriminant $ \Delta $. The results are applied to study classification and orthogonal splittings in the indefinite case.

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Article copyright: © Copyright 1990 American Mathematical Society