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

نویسندگان

چکیده

We study the generating functions for cylindric partitions with profile $(c_1,c_2,c_3)$ 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 $8$ quadruple sums, related work of Andrews, Schilling, Warnaar [J. Amer. Math. Soc. 12 (1999), pp. 677–702].

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2021

ISSN: ['2330-1511']

DOI: https://doi.org/10.1090/proc/15570