gives the k elementary symmetric polynomial in the variables .
- A symmetric polynomial of n variables is invariant under any permutation of its variables. The k elementary symmetric polynomial is the sum of all square-free monomials of degree k.
- The degree k must satisfy .
- The elementary symmetric polynomials form a basis for the symmetric polynomials.
- Expressing a general symmetric polynomial in terms of elementary symmetric polynomials is accomplished by using SymmetricReduction.
Introduced in 2007