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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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1027095-2
Article copyright: © Copyright 1990 American Mathematical Society