# Rogers-Ramanujan-Slater Type Identities

## TL;DR

This survey expands on Lucy Slater's list of Rogers-Ramanujan type identities by including newer, older, and related identities, along with their references and interrelationships.

## Contribution

It provides a comprehensive, updated catalog of Rogers-Ramanujan type identities, including false theta functions and their connections, with historical references.

## Key findings

- Expanded list of identities including recent and older ones
- Identification of relationships between identities
- Inclusion of false theta function identities

## Abstract

In this survey article, we present an expanded version of Lucy Slater's famous list of identities of the Rogers-Ramanujan type, including identities of similar type, which were discovered after the publication of Slater's papers, and older identities (such as those in Ramanujan's lost notebook) which were not included in Slater's papers. We attempt to supply the earliest known reference for each identity. Also included are identities of false theta functions, along with their relationship to Rogers-Ramanujan type identities. We also describe several ways in which pairs/larger sets of identities may be related, as well as dependence relationships between identities.