Rank and crank analogs for some colored partitions
The electronic journal of combinatorics, Tome 22 (2015) no. 4
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.
DOI :
10.37236/5216
Classification :
11P83
Mots-clés : partition congruences, rank analogs, Jacobi's triple product identity, Winquist's product identity
Mots-clés : partition congruences, rank analogs, Jacobi's triple product identity, Winquist's product identity
@article{10_37236_5216,
author = {Roberta R. Zhou and Wenlong Zhang},
title = {Rank and crank analogs for some colored partitions},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {4},
doi = {10.37236/5216},
zbl = {1386.11125},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5216/}
}
Roberta R. Zhou; Wenlong Zhang. Rank and crank analogs for some colored partitions. The electronic journal of combinatorics, Tome 22 (2015) no. 4. doi: 10.37236/5216
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