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Binary integral quadratic forms over R(t)

Published online by Cambridge University Press:  24 October 2008

James T. Knight
James T. Knight
Affiliation:
Trinity College, Cambridge
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Extract

We use the notations and definitions of the introduction to the previous paper ((1)), and say that 2 lattices K and L on a quadratic space over R(t) with its Dedekind set C are in the same genus if, for all , the lattices and are in the same class. We mean to count the number of classes of lattices in a given genus over a binary space: we shall find that it is either 1 or .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 433 - 440
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Knight, J. T.Quadratic forms over R(t). Proc. Cambridge Philos. Soc. 62 (1966), 197–205.CrossRefGoogle Scholar
(2)O'meara, O. T.Introduction to quadratic forms (Springer-Verlag, 1963).CrossRefGoogle Scholar