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Criteria for extreme forms
Published online by Cambridge University Press: 09 April 2009
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A positive quadratic form , of determinant and minimum M for integral , is said to be extreme if the ratio is a (local) maximum for small variations in the coefficients .
Minkowski [3] has given a criterion for extreme forms in terms of a fundamental region (polyhedral cone) in the coefficient space. This criterion, however, involves a complete knowledge of the edges of the region and is therefore of only theoretical value.
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- Copyright © Australian Mathematical Society 1959
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