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Distinct small values of quadratic forms

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 show that an indefinite nonsingular quadratic form which is incommensurable (that is, is not a constant multiple of a form with integral coefficients) takes infinitely many distinct small values, for a suitable interpretation of the word small. This proves a conjecture made by Dr. Chalk in conversation with the writer. I believe that the theorems proved are new and of interest, though they are easy deductions from known results.

Type
Research Article
Information
Mathematika , Volume 7 , Issue 1 , June 1960 , pp. 36 - 40
Copyright
Copyright © University College London 1960

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References

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