Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900484 | Advances in Applied Mathematics | 2018 | 28 Pages |
Abstract
Berkovich-Uncu have recently proved a companion of the well-known Capparelli's identities as well as refinements of Savage-Sills's new little Göllnitz identities. Noticing the connection between their results and Boulet's earlier four-parameter partition generating functions, we discover a new class of partitions, called k-strict partitions, to generalize their results. By applying both horizontal and vertical dissections of Ferrers' diagrams with appropriate labellings, we provide a unified combinatorial treatment of their results and shed more lights on the intriguing conditions of their companion to Capparelli's identities.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shishuo Fu, Jiang Zeng,