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Extreme forms and cyclotomy

Published online by Cambridge University Press:  26 February 2010

Maurice Craig
Maurice Craig
Affiliation:
Care of Prof. L. Schoenfeld, Department of Mathematics, State University of New York at Buffalo, Buffalo, N.Y., U.S.A.
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Extract

Positive definite quadratic forms are associated with pointlattices in the following way. If x ∊ Zm and H = MT for a real m × m matrix M, then xTHx is the square of the distance from the origin to the point Mx of MZm (equally, to W Mx ∊ W MZm, for orthogonal W).

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Type
Research Article
Information
Mathematika , Volume 25 , Issue 1 , June 1978 , pp. 44 - 56
Copyright
Copyright © University College London 1978

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