Unimodal Sequence Generating Functions Arising from Partition Ranks
Number Theory
2019-06-24 v3 Combinatorics
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.
Keywords
Cite
@article{arxiv.1812.03709,
title = {Unimodal Sequence Generating Functions Arising from Partition Ranks},
author = {Kathrin Bringmann and Chris Jennings-Shaffer},
journal= {arXiv preprint arXiv:1812.03709},
year = {2019}
}