# A Generalized Newton-Girard Identity

## TL;DR

This paper generalizes the Newton-Girard identities, providing new theoretical insights and applications, along with a collection of evaluations of symmetric polynomials where these identities are applicable.

## Contribution

The paper introduces a broad generalization of the Newton-Girard identities and compiles various evaluations of symmetric polynomials related to these identities.

## Key findings

- New generalized identities for symmetric polynomials
- Applications demonstrating the utility of the generalized identities
- Collected evaluations of symmetric polynomials using the new identities

## Abstract

We present a generalization of the Newton-Girard identities, along with some applications. As an addendum, we collect many evaluations of symmetric polynomials to which these identities apply.