# Ramanujan--Slater type identities related to the moduli $18$ and $24$

## TL;DR

This paper introduces new Rogers-Ramanujan type identities for moduli 18 and 24, expanding the mathematical landscape with novel results and exploring potential links to Lie algebras.

## Contribution

The paper presents several new families of identities related to moduli 18 and 24, including some previously unknown, and discusses their possible connections to Lie algebras.

## Key findings

- Several new identities for moduli 18 and 24
- Some identities previously discovered by Ramanujan, Slater, or Dyson
- Two families of related false theta function identities

## Abstract

We present several new families of Rogers-Ramanujan type identities related to the moduli 18 and 24. A few of the identities were found by either Ramanujan, Slater, or Dyson, but most are believed to be new. For one of these families, we discuss possible connections with Lie algebras. We also present two families of related false theta function identities.