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A proof of Waring's Expression for Σar in terms of the Coefficients of an Equation

Published online by Cambridge University Press:  20 January 2009

R. F. Muirhead
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While Newton's Theorem on the Sums of Powers of the Roots of an equation furnishes a set of lineo-linear equations connecting the quantities s1, s2, s3, … and the quantities p1, p2, p3, … Waring gives the solution of these equations by which the s's are expressed in terms of the p's.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 23 , February 1904 , pp. 71 - 74
Copyright
Copyright © Edinburgh Mathematical Society 1904