Staircases to Analytic Sum-Sides for Many New Integer Partition Identities of Rogers-Ramanujan Type

• Published in: The Electronic journal of combinatorics Vol. 26; no. 1
• Main Authors: Kanade, Shashank, Russell, Matthew C.
• Format: Journal Article
• Language: English
• Published: 11.01.2019

We utilize the technique of staircases and jagged partitions to provide analytic sum-sides to some old and new partition identities of Rogers-Ramanujan type. Firstly, we conjecture a class of new partition identities related to the principally specialized characters of certain level $2$ modules for...