Chris Jennings-Shaffer

Affiliation: Oregon State University


Title Of Talk: Partition Rank Functions Transforming Like Their Partition Functions


Abstract: Recently Garvan revisited the transformation properties due to Bringmann and Ono for the rank of partitions as a mock modular form. The associated harmonic Maass form was found to transform like the partition function on a certain subgroup of the modular group. We show that this also occurs with the Dyson rank of overpartitions and the M2-rank of partitions without repeated odd parts transforming like the generating functions for overpartitions and partitions without repeated odd parts. We briefly discuss the utility of this fact in calculating identities involving partition ranks.

Last update made Mon Feb 8 11:30:15 PST 2016.
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