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A class of D-extreme Minkowski-reduced forms

Published online by Cambridge University Press:  09 April 2009

D. W. Trenerry
D. W. Trenerry
Affiliation:
The University of New South Wales, Broken Hill, 2880, Australia
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Abstract

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Barnes (1978, 1979) introduced the concept of a -extreme form, which is a Minkowski-reduced positive definite quadratic form having prescribed diagonal coefficients α1, α2, …, αn and providing a local minimum of the determinant of the form over all such forms. Here a class of forms which are -extreme for all α and all n is described.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 31 , Issue 3 , October 1981 , pp. 269 - 275
Copyright
Copyright © Australian Mathematical Society 1981

References

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