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Yet another proof of Minkowski's theorem on the product of two inhomogeneous linear forms

Published online by Cambridge University Press:  24 October 2008

J. W. S. Cassels
J. W. S. Cassels
Affiliation:
Trinity CollegeCambridge
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Extract

Theorem 1. Let ξ = αx + βy, η = γx + δy be two homogeneous linear forms in x, y with real coefficients and determinant αδ − βγ = Δ ≠ 0. Then for any real constants p, q there are integers x, y such that

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 2 , April 1953 , pp. 365 - 366
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

REFERENCE

(1)Sawyer, D. B.J. Lond. math. Soc. 23 (1948), 250–1.CrossRefGoogle Scholar