English

An overpartition analogue of partitions with bounded differences between largest and smallest parts

Combinatorics 2017-10-31 v1 Number Theory

Abstract

We study the generating function for overpartitions with bounded differences between largest and smallest parts, which is analogous to a result of Breuer and Kronholm on integer partitions. We also connect this problem with over qq-binomial coefficients introduced by Dousse and Kim.

Keywords

Cite

@article{arxiv.1702.03462,
  title  = {An overpartition analogue of partitions with bounded differences between largest and smallest parts},
  author = {Shane Chern},
  journal= {arXiv preprint arXiv:1702.03462},
  year   = {2017}
}