English

A combinatorial proof and refinement of a partition identity of Siladi\'c

Combinatorics 2013-07-12 v1 Number Theory

Abstract

In this paper we give a combinatorial proof and refinement of a Rogers-Ramanujan type partition identity of Siladi\'c arising from the study of Lie algebras. Our proof uses generating functions and qq-difference equations.

Keywords

Cite

@article{arxiv.1307.3213,
  title  = {A combinatorial proof and refinement of a partition identity of Siladi\'c},
  author = {Jehanne Dousse},
  journal= {arXiv preprint arXiv:1307.3213},
  year   = {2013}
}