Isn't this called Newton's Sums instead of Newton sums?
Most people I know call them Newton sums, but I believe the "proper" term is Newton-Gerard Identities. --ComplexZeta 22:41, 22 August 2006 (EDT)
$S_4 = r^4 + s^4 + t^4 = − 127$ (Error compiling LaTeX. ! Package inputenc Error: Unicode character − (U+2212)). How can the sum of squares equal a negative number (or does the polynomial have imaginary roots?). --Sean 17:22, 7 November 2006 (EST)