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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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Abstract

A theory of quadratic forms is developed over R(t), the field of rational functions with real coefficients, instead of over an algebraic number field: some results are analogous to the classical ones, but many, in particular the non-finiteness of the class number, whose more detailed treatment will be the subject of a later paper, are not analogous.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 2 , April 1966 , pp. 197 - 205
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)O'Meara, O. T.Introduction to quadratic forms. Springer-Verlag, 1963.CrossRefGoogle Scholar
(2)Witt, E.J. Reine Angew. Math. 176 (1937), 31–44, Satz 22.CrossRefGoogle Scholar
(3)Jones, B. W.The arithmetic theory of quadratic forms. Carus Monograph No. 10, 1950.CrossRefGoogle Scholar
(4) To appear in Proc. Cambridge Philos. Soc.Google Scholar