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The Perfect and Extreme Senary Forms

Published online by Cambridge University Press:  20 November 2018

E. S. Barnes
E. S. Barnes*
Affiliation:
University of Sydney
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Extract

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This paper is devoted partly to a summary of some results which will be published in detail elsewhere, partly to a description of a new extreme senary form, ϕ6, and an n-dimensional generalization of it.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 235 - 242
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Barnes, E. S., Note on extreme forms, Can. J. Math. 7 (1955), 150–154.Google Scholar
2. Blichfeldt, H. F., The minimum values of positive quadratic forms in six, seven and eight variables, Math. Z. 89 (1935), 1–15.Google Scholar
3. Coxeter, H. S. M., Extreme forms, Can. J. Math. 8 (1951), 391–441.Google Scholar
4. Hofreiter, N., Ueber Extremformen, Monatsh. Math. Phys. 40 (1933) 129–152.Google Scholar
5. Kneser, M., Two remarks on extreme forms, Can. J. Math. 7 (1955), 145–149.Google Scholar
6. Voronoi, G., Sur quelques propriétés des formes quadratiques positives parfaites, J. reine angew. Math. 188 (1908), 97–178.Google Scholar