Rank and Crank Analogs for some Colored Partitions

  • Roberta R. Zhou
  • Wenlong Zhang
DOI: https://doi.org/10.37236/5216
Keywords: Partition congruences, Rank analogs, Jacobi's triple product identity, Winquist's product identity

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.

Published
2015-10-30
How to Cite
Zhou, R. R., & Zhang, W. (2015). Rank and Crank Analogs for some Colored Partitions. The Electronic Journal of Combinatorics, 22(4), P4.17. https://doi.org/10.37236/5216
Issue
Volume 22, Issue 4 (2015)
Article Number
P4.17