English

A Bijection Between Two Different Classes of Partitions Enumerated by $p_\nu(n)$

Combinatorics 2020-07-21 v1 Number Theory

Abstract

In this paper, we give a purely bijective proof that two different partition classes that are both combinatorial interpretations of the partition function pν(n)p_\nu(n), a partition function related to the third order mock theta function ν(q)\nu(q), are equinumerous. In doing so, we give a partial solution to a combinatorial problem proposed in a paper by Andrews.

Keywords

Cite

@article{arxiv.2007.09794,
  title  = {A Bijection Between Two Different Classes of Partitions Enumerated by $p_\nu(n)$},
  author = {A. S. Andersen},
  journal= {arXiv preprint arXiv:2007.09794},
  year   = {2020}
}
R2 v1 2026-06-23T17:13:57.236Z