On partition identities of Capparelli and Primc
Combinatorics
2020-05-25 v2 Number Theory
Quantum Algebra
Abstract
We show that, up to multiplication by a factor , the weighted words version of Capparelli's identity is a particular case of the weighted words version of Primc's identity. We prove this first using recurrences, and then bijectively. We also give finite versions of both identities.
Cite
@article{arxiv.1811.02251,
title = {On partition identities of Capparelli and Primc},
author = {Jehanne Dousse},
journal= {arXiv preprint arXiv:1811.02251},
year = {2020}
}
Comments
18 pages v2: corrected typos and other minor changes