Cylindric partitions and some new A2 Rogers-Ramanujan identities
Abstract
We study the generating functions for cylindric partitions with profile (c1,c2,c3) for all c1,c2,c3 such that c1+c2+c3=5. This allows us to discover and prove seven new A2 Rogers-Ramanujan identities modulo 8 with quadruple sums, related with work of Andrews, Schilling, and Warnaar.
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