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Indefinite quadratic Diophantine equations

Published online by Cambridge University Press:  26 February 2010

G. L. Watson
G. L. Watson
Affiliation:
University College, London, W.C.I.
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Extract

The main object of this paper is to give a self-contained elementary proof of a result (Theorem 1, below), which could be deduced from a theorem of Siegel ([1], Satz 2). It seems worth while to do so, because Siegel's proof is long and difficult, though his result is deeper and more precise than mine.

Type
Research Article
Information
Mathematika , Volume 8 , Issue 1 , June 1961 , pp. 32 - 38
Copyright
Copyright © University College London 1961

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References

1.Siegel, C. L., Math. Ann., 124 (1951), 17–54.CrossRefGoogle Scholar
2.Watson, G. L., Mathematika, 2 (1955), 32–38.CrossRefGoogle Scholar
3.Watson, G. L., Integral quadratic forms (Cambridge Tract No. 51, 1960).Google Scholar
4.Watson, G. L., Phil. Trans. Royal Soc. A, 253 (1960), 227–254.Google Scholar