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4. Note on a paper by Balfour Stewart, Esq., in the Transactions of the Royal Society of Edinburgh

Published online by Cambridge University Press:  15 September 2014

I. Todhunter
Affiliation:
St John's CollegeCambridge
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Extract

In Volume XXI. of the Transactions of the Royal Society of Edinburgh, pages 407–409, a proposition in the Theory of Numbers is demonstrated. The proposition may be extended, and, at the same time, the demonstration simplified. I propose to establish the following result:—Let 1, α, β, γ, … μ, be the n roots of the equation

then, will

where t is any quantity.

Type
Proceedings 1865-66
Copyright
Copyright © Royal Society of Edinburgh 1866

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