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arXiv · 2011.12828

Cylindric partitions and some new $A_2$ Rogers-Ramanujan identities

Sylvie Corteel·Jehanne Dousse·Ali K. Uncu
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Abstract

We study the generating functions for cylindric partitions with profile $(c_1,c_2,c_3)$ for all $c_1,c_2,c_3$ such that $c_1+c_2+c_3=5$. This allows us to discover and prove seven new $A_2$ Rogers-Ramanujan identities modulo $8$ with quadruple sums, related with work of Andrews, Schilling, and Warnaar.

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Sylvie Corteel, Jehanne Dousse, Ali K. Uncu. 2020-11-25. Cylindric partitions and some new $A_2$ Rogers-Ramanujan identities. https://arxiv.org/abs/2011.12828

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