A further look at a generalization of Waring’s formula

What is it about?

Waring’s formula expresses the power sum symmetric functions in terms of the elementary symmetric functions. In 1996, Konvalina gives a generalization of Waring’s formula and expresses monomial symmetric functions with equal exponents in terms of the elementary symmetric functions. Computing the generalized Waring coefficients by Konvalina’s formula is complicated. In this paper, we provide a simpler method for computing the generalized Waring coefficients and show that these coefficients can be expressed in terms of the Möbius function.

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