Multiranks for partitions into multi-colors
The electronic journal of combinatorics, Tome 19 (2012) no. 2
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
Mots-clés : partition congruences, multirank, Jacobi's triple product identity, quintuple product identity
Affiliations des auteurs :
Roberta Rui Zhou  1
@article{10_37236_2203,
author = {Roberta Rui Zhou},
title = {Multiranks for partitions into multi-colors},
journal = {The electronic journal of combinatorics},
year = {2012},
volume = {19},
number = {2},
doi = {10.37236/2203},
zbl = {1288.11097},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2203/}
}
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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