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A Theorem on Rational Integral Symmetric Functions

Published online by Cambridge University Press:  31 October 2008

John Dougall
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Extract

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An identity involving symmetric functions of n letters may in a certain class of cases be extended immediately to a greater number of letters.

For example, the theorem

may be written

and in the latter form it is true for any number of letters.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 24 , January 1929 , pp. i - iii
Copyright
Copyright © Edinburgh Mathematical Society 1929

References

1 Cf. DrMuirhead, R. P., “Some Proofs of Newton's Theorem on Sums of Powers of Roots,” Proc. Edin. Math. Soc., 24, 1904–1905.Google Scholar