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On a theorem of L. J. Mordell

Published online by Cambridge University Press:  24 October 2008

P. H. Diananda
P. H. Diananda
Affiliation:
Department of MathematicsUniversity of Malaya in, Singapore
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Extract

In a recent paper (3) Mordell proved the following theorem.

Theorem 1. Let xn + i = xi ≥ 0 for all i and x1 + … + xn = 1. Then

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 3 , July 1961 , pp. 682 - 685
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Birkhoff, G. and MacLane, S. A.survey of modern algebra, revised ed. (New York, 1953).Google Scholar
(2)Diananda, P. H., On a conjecture of L. J. Mordell regarding an inequality involving quadratic forms. J. Lond. Math. Soc. (in the Press).Google Scholar
(3)Mordell, L. J.On the inequality and some others. Abh. Math. Sem. Univ. Hamburg, 22 (1958), 229–41.Google Scholar