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The Equivalence of Quadratic Forms

Published online by Cambridge University Press:  20 November 2018

G. L. Watson*
Affiliation:
University College, London
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The main object of this paper is to find the number of classes in a genus of indefinite quadratic forms, with integral coefficients, in k ≥ 4 variables, distinguishing for even k two cases, according as improper equivalence is or is not admitted.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Brandt, H., Über quadratische Kern- und Stamm-formen, Festschrift zum 60. Geburstag von Professor Andreas Speiser (Zürich, 1945).Google Scholar
2. Eichler, M., Quadratische Formen und orthogonale Gruppen (Berlin, 1952).Google Scholar
3. Jones, B. W. and Watson, G. L., On indefinite ternary quadratic forms, Can. J. Math., 8 (1956), 592608.Google Scholar
4. Lipschitz, R., Untersuchungen über die Summen von Quadraten (Bonn, 1886).Google Scholar
5. Meyer, A., Ueber indefinite quadratische Formen, Viertelschr. Naturforsch. Ges. Zurich, 36 (1891), 241250.Google Scholar
6. Pall, G., On the order invariants of integral quadratic forms, Quart. J. Math. (Oxford), 6 (1935), 3051.Google Scholar
7. Watson, G. L., Representation of integers by indefinite quadratic forms, Mathematika, 2 (1955), 3238.Google Scholar