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On the minimal points of positive definite quadratic forms

Published online by Cambridge University Press:  26 February 2010

R. A. Rankin
R. A. Rankin
Affiliation:
The University, Glasgow.
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Extract

Let be a positive definite quadratic form in n variables. Here x denotes a column vector with components x1, x2, …, xn, and we write A for the symmetric matrix {ajk} so that

Type
Research Article
Information
Mathematika , Volume 3 , Issue 1 , June 1956 , pp. 15 - 24
Copyright
Copyright © University College London 1956

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References

1.Coxeter, H. S. M., “Extreme forms”, Canadian Math. J., 3 (1951), 391–441.CrossRefGoogle Scholar
2.Davenport, H. and Watson, G. L., “The minimal points of a positive definite quadratic form”, Mathematika, 1 (1954), 14–17.CrossRefGoogle Scholar
3.Rankin, R. A., “The closest packing of spherical caps in n dimensions”, Proc. Glasgow Math. Assoc., 2 (1955), 139–144.CrossRefGoogle Scholar