collaborators

4 papers

math.RT2026

A generalization of partition identities of Göllnitz-Gordon, Rogers-Ramanujan and Nandi

Motoki Takigiku, Shunsuke Tsuchioka

We propose Andrews-Gordon type series for certain level 2 standard modules of type , and prove the corresponding sum-product identities except for $A^{(2)}_…

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.QA2024

A Fibonacci variant of the Rogers-Ramanujan identities via crystal energy

Shunsuke Tsuchioka

We define a length function for a perfect crystal. As an application, we derive a variant of the Rogers-Ramanujan identities which involves (a -analog of) the Fibonacci numbers.

math.RT2024

An example of Rogers-Ramanujan bipartition identities of level 3

Shunsuke Tsuchioka

We give manifestly positive Andrews-Gordon type series for the level 3 standard modules of the affine Lie algebra of type . We also give corresponding bipartition identi…