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On the product of three non-homogeneous linear forms

Published online by Cambridge University Press:  24 October 2008

L. E. Clarke
L. E. Clarke
Affiliation:
University CollegeLondon
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Extract

Let ξ, η, ζ be linear forms in u, v, w with real coefficients and determinant Δ ≠ 0. Then there exists a number ℳ such that, corresponding to any real numbers a, b, c, there exist rational integers u, v, w for which

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 2 , April 1951 , pp. 260 - 265
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

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∥ See Table II of Reid's, L. W. thesis Tafel der Klassenanzahlen für kubische Zahlkörper (Göttingen, 1899).Google Scholar

* Davenport, H.Proc. Cambridge Phil. Soc. 43 (1947), 137–52.CrossRefGoogle Scholar