English

Biases among classes of rank-crank partitions$\pmod{11}$

Number Theory 2023-08-07 v1

Abstract

In this paper, we prove inequalities for ranks, cranks, and partitions among different classes modulo 11. These were conjectured by Borozenets.

Keywords

Cite

@article{arxiv.2308.02327,
  title  = {Biases among classes of rank-crank partitions$\pmod{11}$},
  author = {Kathrin Bringmann and Badri Vishal Pandey},
  journal= {arXiv preprint arXiv:2308.02327},
  year   = {2023}
}

Comments

17 pages, comments welcome