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The Construction of Perfect and Extreme Forms

Published online by Cambridge University Press:  20 November 2018

P. R. Scott
P. R. Scott*
Affiliation:
Victoria University of Wellington, New Zealand
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Let

be a positive quadratic form of determinant D, and let M be the minimum of f(x) for integral x ≠ 0. Then f(x) assumes the value M for a finite number of integral vectors x = ±mk (k = 1 , … , s) called the minimal vectors.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 147 - 158
Copyright
Copyright © Canadian Mathematical Society 1966

References

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