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math.CO2026
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…
math.CO2025
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…