# powerSumSymmetricPolynomials(PolynomialRing) -- the power sum symmetric polynomials

## Synopsis

• Function: powerSumSymmetricPolynomials
• Usage:
powerSumSymmetricPolynomials(R)
• Inputs:
• R, , a polynomial ring
• Outputs:
• a list, the list of power sum symmetric polynomials

## Description

As an example the power sum symmetric polynomials of a ring with three variables are calculated. These polynomials form a basis for the ring of symmetric polynomials.

 i1 : R = QQ[x_1..x_3] o1 = R o1 : PolynomialRing i2 : powerSumSymmetricPolynomials R 2 2 2 3 3 3 o2 = {x + x + x , x + x + x , x + x + x } 1 2 3 1 2 3 1 2 3 o2 : List