Unimodal Sequence Generating Functions Arising from Partition Ranks
classification
🧮 math.NT
math.CO
keywords
functionsrankunimodalgeneratingsequencesstronglyarisingasymptotics
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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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