Geodesic
The fundamental theorem on symmetric polynomials
The Teaching of Mathematics, XV (2012) no. 1, p. 55

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this work we are going to extend the proof of Newton's theorem of symmetric polynomials, by considering any monomial order $>$ on polynomials in $n$ variables $x_{1},x_{2},\dots,x_{n}$ over a field $k$, where the original proof is based on the graded lexicographic order. We will introduce some basic definitions and propositions to support the extended proof.
Classification : 1AMS97H20 2ZDMH25
Keywords: Symmetric polynomials. 
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     title = {The fundamental theorem on symmetric polynomials},
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Hamza E. S. Daoub. The fundamental theorem on symmetric polynomials. The Teaching of Mathematics, XV (2012) no. 1, p. 55 . http://geodesic.mathdoc.fr/item/TM2_2012_XV_1_a4/