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Representation of integers by indefinite quadratic forms

Published online by Cambridge University Press:  26 February 2010

G. L. Watson
G. L. Watson
Affiliation:
University College, London
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Extract

The main object of this paper is to show that an indefinite quadratic form in four or more variables with integral coefficients represents all integers except those excluded by congruence considerations. The subject of the representation of integers by quadratic forms is one on which little is known, and I believe this result to be new, although I can deduce it in an elementary way from the classical theory.

Type
Research Article
Information
Mathematika , Volume 2 , Issue 1 , June 1955 , pp. 32 - 38
Copyright
Copyright © University College London 1955

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References

1.Bachmann, P., Die Arithmetik der quadratischen Formen, Erste Abteilung (Leipzig and Berlin, 1925).Google Scholar
2.Meyer, A., Vierteljahrsschrift der Naturforschenden Ges. in Zürich, 29 (1884), 209–222.Google Scholar