A Newton-Girard Formula for Monomial Symmetric Polynomials
Commutative Algebra
2018-11-16 v1
Abstract
The Newton-Girard Formula allows one to write any elementary symmetric polynomial as a sum of products of power sum symmetric polynomials and elementary symmetric polynomials of lesser degree. It has numerous applications. We have generalized this identity by replacing the elementary symmetric polynomials with monomial symmetric polynomials.
Keywords
Cite
@article{arxiv.1811.06491,
title = {A Newton-Girard Formula for Monomial Symmetric Polynomials},
author = {Samuel Chamberlin and Azadeh Rafizadeh},
journal= {arXiv preprint arXiv:1811.06491},
year = {2018}
}