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Proceedings of the American Mathematical Society

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Even quadratic forms with cube-free discriminant


Author: Donald G. James
Journal: Proc. Amer. Math. Soc. 106 (1989), 73-79
MSC: Primary 11E12
MathSciNet review: 955998
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Abstract: A formula is given for the number of genera of even lattices with rank $ n$, signature $ s$, and discriminant $ {( - 1)^{(n - s)/2}}{d^2}D$, when $ dD$ is odd and square-free. In the indefinite case, an orthogonal splitting of these lattices into simple components is also determined.


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DOI: https://doi.org/10.1090/S0002-9939-1989-0955998-5
Article copyright: © Copyright 1989 American Mathematical Society