Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-28T09:20:31.867Z Has data issue: false hasContentIssue false

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)