Rank and Crank Analogs for some Colored Partitions

Roberta R. Zhou, Wenlong Zhang

Abstract


We establish some rank and crank analogs for partitions into distinct colors and give combinatorial interpretations for colored partitions such as partitions defined by Toh, Zhang and Wang congruences modulo 5, 7.


Keywords


Partition congruences; Rank analogs; Jacobi's triple product identity; Winquist's product identity

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