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On perfect and extreme forms

Published online by Cambridge University Press:  09 April 2009

P. R. Scott
P. R. Scott
Affiliation:
University of Adelaide, South Australia.
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Let (х) = (x1, x2, … xn) = Σi Σiaij, xixf (aij = aij) be a positive quadratic form with determinant D, and let M be the minimum of for integral x ≠ 0. Then attains the value M for a finite number of integral x = ±mk ( k = 1, …, s) called its minimal vectors.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 1 , February 1964 , pp. 56 - 77
Copyright
Copyright © Australian Mathematical Society 1964

References

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