Multiranks for Partitions into Multi-Colors

Roberta Rui Zhou

Abstract


We generalize Hammond-Lewis birank to multiranks for partitions into colors and give combinatorial interpretations for multipartitions such as $b(n)$ defined by H. Zhao and Z. Zhong and $Q_{p_1;p_2}(n)$ defined by Toh congruences modulo 3, 5, 7.

Keywords


Partition congruences; Multirank; Jacobi's triple product identity; Quintuple product identity

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