Power Sum Symmetric Polynomial - Examples

Examples

The following lists the power sum symmetric polynomials of positive degrees up to n for the first three positive values of In every case, is one of the polynomials. The list goes up to degree n because the power sum symmetric polynomials of degrees 1 to n are basic in the sense of the Main Theorem stated below.

For n = 1:

For n = 2:

For n = 3:

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