4 papers
Companions to the Andrews-Gordon and Andrews-Bressoud Identities and Recent Conjectures of Capparelli, Meurman, Primc, and Primc
Matthew C. Russell
We find bivariate generating functions for the cases of recently conjectured colored partition identities of Capparelli, Meurman, A. Primc, and M. Primc that are slight varia…
Remarks on the conjectures of Capparelli, Meurman, Primc and Primc
Shashank Kanade, Matthew C. Russell, Shunsuke Tsuchioka +1
In a series of two papers, S. Capparelli, A. Meurman, A. Primc, M. Primc (CMPP) and then M. Primc put forth three remarkable sets of conjectures, stating that the generating functi…
On a pair of three-colored (mod 10) partition identities
Matthew C. Russell
We prove a pair of (mod 10) partition identities. The sum sides involve three-colored partitions into distinct parts, while the product sides are the generating functions for disti…
Tight cylindric partitions
Shashank Kanade, Matthew C. Russell
In this note, we initiate the study of generating functions for tight cylindric partitions. For general (i.e., -rowed for ) tight cylindric partitions, we provide analo…