Multiranks for partitions into multi-colors
The electronic journal of combinatorics, Tome 19 (2012) no. 2
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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.
DOI : 10.37236/2203
Classification : 11P83, 05A17, 05A19, 11P81
Mots-clés : partition congruences, multirank, Jacobi's triple product identity, quintuple product identity

Roberta Rui Zhou  1

1 Dalian University of Technology
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Roberta Rui Zhou. Multiranks for partitions into multi-colors. The electronic journal of combinatorics, Tome 19 (2012) no. 2. doi: 10.37236/2203

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