# The $A_2$ Rogers-Ramanujan identities revisited

**Authors:** Sylvie Corteel, Trevor Welsh

arXiv: 1905.08343 · 2019-11-27

## TL;DR

This paper revisits the $A_2$ Rogers-Ramanujan identities, providing a new derivation using cylindric partitions, thereby offering fresh insights into these classical combinatorial identities.

## Contribution

It introduces a novel derivation of the $A_2$ Rogers-Ramanujan identities through cylindric partitions, expanding the combinatorial understanding of these identities.

## Key findings

- New derivation of $A_2$ Rogers-Ramanujan identities
- Connection between cylindric partitions and classical identities
- Enhanced combinatorial interpretation

## Abstract

In this note we show how to rederive the $A_2$ Rogers-Ramanujan identities proven by Andrews, Schilling and Warnaar using cylindric partitions. This paper is dedicated to George Andrews for his $80^{th}$ birthday.

## Full text

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## References

15 references — full list in the complete paper: https://tomesphere.com/paper/1905.08343/full.md

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Source: https://tomesphere.com/paper/1905.08343