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Classes of integral 3-tensors on 2-space

Part of: Forms and linear algebraic groups

Published online by Cambridge University Press:  26 February 2010

Anthony C. Kable
Anthony C. Kable
Affiliation:
Department of Mathematics, Cornell University, Ithaca NY 14853, U.S.A.
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Abstract

The space of integral 3-tensors is under the standard action of . A notion of primitivity is defined in this space and the number of primitive classes of a given discriminant is evaluated in terms of the class number of primitive binary quadratic forms of the same discriminant. Classes containing symmetric 3-tensors are also considered and their number is related to the 3-rank of the class group.

MSC classification

Secondary: 11E41: Class numbers of quadratic and Hermitian forms
Type
Research Article
Information
Mathematika , Volume 47 , Issue 1-2 , December 2000 , pp. 205 - 217
Copyright
Copyright © University College London 2000

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References

1.Gauss, C. F.. Disquisitiones arithmetics (trans. Clarke, A. A., S. J., ). Yale UP (New Haven and London, 1966).Google Scholar