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On the product of three homogeneous linear forms

Published online by Cambridge University Press:  24 October 2008

J. H. H. Chalk  and
C. A. Rogers
J. H. H. Chalk
Affiliation:
Princeton University and The Institute for Advanced StudyPrinceton, N.J.
C. A. Rogers
Affiliation:
Princeton University and The Institute for Advanced StudyPrinceton, N.J.
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Extract

Let X denote the general point with coordinates (x1, x2, x3) in 3-dimensional space; and let P(X) be the function defined by

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 2 , April 1951 , pp. 251 - 259
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

* Davenport, H.Proc. London Math. Soc. (2), 44 (1938), 412–31CrossRefGoogle Scholar; for a simpler proof, see Davenport, H.J. London Math. Soc. 16 (1941), 98–101.CrossRefGoogle Scholar

† Davenport, H.Proc. Cambridge Phil. Soc. 39 (1943), 1–21.CrossRefGoogle Scholar

‡ Mahler, K.Proc. K. Ned. Akad. Wet. Amsterdam, 49 (1946), 331–43, 444–54, 524–32, 622–31Google Scholar (Theorem M, p. 527).

§ Davenport, H. and Rogers, C. A.Philos. Trans. Roy. Soc. A, 242 (1950), 311–44CrossRefGoogle Scholar, § 8.

∥ Loc. cit., Corollary to Theorem 12.

* J. London Math. Soc. 16 (1941), 98–101.Google Scholar

* Loc. cit. (1941).

* We use the method of Davenport, loc. cit. (1941).