# Generalizations of Capparelli's identity

## TL;DR

This paper introduces three new generalizations of Capparelli's identity using jagged overpartitions, expanding the combinatorial understanding and providing several related corollaries.

## Contribution

It presents novel generalizations of Capparelli's identity through the use of jagged overpartitions, a new combinatorial approach.

## Key findings

- Three new generalizations of Capparelli's identity are established.
- Several corollaries related to the generalizations are derived.
- The approach enhances combinatorial interpretations of the identity.

## Abstract

Using jagged overpartitions, we give three generalizations of a weighted word version of Capparelli's identity due to Andrews, Alladi, and Gordon and present several corollaries.