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Regular positive ternary quadratic forms

Published online by Cambridge University Press:  26 February 2010

J. S. Hsia
J. S. Hsia
Affiliation:
Department of Mathematics, Ohio State University. 231 W. 18th Avenue, Columbus. Ohio 43210, U.S.A.
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Extract

Unless stated otherwise all quadratic forms have rational integer coefficients and all representations are integral representations. For positive binary quadratic forms of the same discriminant it is known that two such forms are equivalent provided they represent the same integers. See, for instance, [Ki2], and for a sharper extension [W2]. On the other hand, in the quaternary case these value-sets are far from characterizing the forms even within a genus. It is therefore natural to ask for positive ternary forms the corresponding question, whose answer appears to be unknown.

Type
Research Article
Information
Mathematika , Volume 28 , Issue 2 , December 1981 , pp. 231 - 238
Copyright
Copyright © University College London 1981

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