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The minima of a pair of indefinite, harmonic, binary quadratic forms

Published online by Cambridge University Press:  24 October 2008

Kathleen Ollerenshaw
Affiliation:
Somerville CollegeOxford

Extract

If f is a real, indefinite, binary quadratic form of discriminant d and if κ(f) is the minimum of | f | taken over all integer values of x, y, not both zero, then it is well known that and that this is a ‘best possible’ result.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1945

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References

REFERENCES

(1)Mahler, K.Proc. London Math. Soc. (In the press.)Google Scholar
(2)Minkowski, H.Diophantische Approximationen (Berlin, 1927).Google Scholar
(3)Hardy, G. H. and Wright, E. M.An Introduction to the Theory of Numbers (Oxford, 1938).Google Scholar