A PROOF OF NEWTON'S POWER SUM FORMULAS

Authors

J. A. Eidswick

Document Type

Article

Date of this Version

4-1968

Comments

Published in The American Mathematical Monthly, Vol. 75, No. 4 (Apr., 1968), pp. 396-397 Copyright 1968 Mathematical Association of America. Used by permission.

Abstract

For a polynomial P(z) = α₀ + α₁z + ... + α_nzⁿ = α_n (z – z₁) (z – z₂) ... (z – z_n), the power sums S_m = ∑ ⁿ _k=1 z^m _k, m = 1, 2, ... , can be calculated from the formulas ...