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Two Remarks On Extreme Forms
Published online by Cambridge University Press: 20 November 2018
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1. Introduction. The following remarks concern two different parts of the theory of extreme quadratic forms. In §2, I shall give a new proof for the theorem of Voronoï (4), which asserts that a form is extreme if and only if it is both perfect and eutactic. (For the definitions see, e.g., Coxeter (2) or the text below.) There is indeed a comparatively simple proof in Bachmann's Zahlentheorie, IV, 2. For two reasons, however, it may not be useless to communicate another proof here.
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- Copyright © Canadian Mathematical Society 1955
References
4.
Voronoï, G., Nouvelles applications des paramètres continus à la théorie des formes quadratiques, J. reine angew. Math.
133 (1908), 97–178.Google Scholar
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