Abstract
In this note, we show how to use cylindric partitions to rederive the four \(A_2\) Rogers–Ramanujan identities originally proven by Andrews, Schilling and Warnaar, and provide a proof of a similar fifth identity.
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Acknowledgements
SC was residing at MSRI (NSF Grant DMS-1440140) and was visiting the Mathematics Department at UC Berkeley during the completion of this work. TW acknowledges partial support from the Australian Research Council. The authors wish to thank Omar Foda for his interest in this work and useful discussions. The authors also wish to thank the anonymous referee for her excellent suggestions and careful reading.
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To George Andrews on his 80th birthday
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Corteel, S., Welsh, T. The \(\varvec{A}_2\) Rogers–Ramanujan Identities Revisited. Ann. Comb. 23, 683–694 (2019). https://doi.org/10.1007/s00026-019-00446-7
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DOI: https://doi.org/10.1007/s00026-019-00446-7