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The Minimum of a Definite Ternary Quadratic Form

Published online by Cambridge University Press:  20 November 2018

A. P. Dempster
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A purely algebraic solution for the problem of the extreme definite ternary quadratic form has been given by Mordell (2). The equivalent geometric problem of the critical lattice of a sphere was solved by Mrs. Ollerenshaw (3) under a preliminary assumption that was said to be justified by “simple considerations” (p. 297).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 232 - 234
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Hilbert, D. and Cohn-Vossen, S., Geometry and the Imagination (New York, 1952); translation of Anschauliche Geometrie (Berlin, 1932).Google Scholar
2. Mordell, L. J., The minimum of a definite ternary quadratic form, J. London Math. Soc, 28 (1948), 175–178.Google Scholar
3. Ollerenshaw, K., The critical lattices of a sphere, J. London Math. Soc, 23 (1948), 297–299.Google Scholar
4. Ollerenshaw, K., The critical lattices of a four-dimensional hypersphere, J. London Math. Soc, 24 (1949), 190–200.Google Scholar