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Some Proofs of Newton's Theorem on Sums of Powers of Roots
Published online by Cambridge University Press: 20 January 2009
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This well-known theorem, published in Newton's Arithmetica Universalis, may be formulized thus:—
where sm ≡ the sum of the mth powers of the roots of the equation
Of course, when m>n, certain coefficients pn+1, pn+2, … pm will be zero, and the last term that does not vanish will be .
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- Copyright © Edinburgh Mathematical Society 1904
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