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The inhomogeneous minima of indefinite quadratic forms

Published online by Cambridge University Press:  09 April 2009

E. S. Barnes
E. S. Barnes
Affiliation:
University of Adelaide
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If f(x) is a real indefinite quadratic form in n variables with determinant d ≠ 0, we set for any real α.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 2 , Issue 1 , April 1961 , pp. 9 - 10
Copyright
Copyright © Australian Mathematical Society 1961

References

[1]Blaney, H.Indefinite quadratic forms in n variables, J. London Math. Soc. 23 (1948), 153–180.CrossRefGoogle Scholar
[2]Cassels, J. W. S.An introduction to the geometry of numbers (Springer, 1959).Google Scholar
[3]Davenport, H.Indefinite quadratic forms and Euclid's algorithm in real quadratic fields, Proc. London Math. Soc. (2) 53 (1951), 65–82.Google Scholar