Multiranks for Partitions into Multi-Colors

  • Roberta Rui Zhou
Keywords: Partition congruences, Multirank, Jacobi's triple product identity, Quintuple product identity

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.
Published
2012-04-16
Article Number
P8