Generalizations of Capparelli's identity

Abstract

Using jagged overpartitions, we give three generalizations of a weighted word version of Capparelli's identity due to Andrews, Alladi, and Gordon and present several corollaries.

13 pages

References in corpus (2)

• On Series Expansions of Capparelli's Infinite Product
• A unifying combinatorial approach to refined little Göllnitz and Capparelli's companion identities

Cited by in corpus (1)

• Partition identities from higher level crystals of $A_1^{(1)}$