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arXiv · 1812.03709

Unimodal Sequence Generating Functions Arising from Partition Ranks

Kathrin Bringmann·Chris Jennings-Shaffer
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Abstract

In this paper we study generating functions resembling the rank of strongly unimodal sequences. We give combinatorial interpretations, identities in terms of mock modular forms, asymptotics, and a parity result. Our functions imitate a relation between the rank of strongly unimodal sequences and the rank of integer partitions.

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Kathrin Bringmann, Chris Jennings-Shaffer. 2018-12-10. Unimodal Sequence Generating Functions Arising from Partition Ranks. https://arxiv.org/abs/1812.03709

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