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arXiv · 2606.31821

A generalization of partition identities of G\"ollnitz-Gordon, Rogers-Ramanujan and Nandi

Motoki Takigiku·Shunsuke Tsuchioka
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Abstract

We propose Andrews-Gordon type series for certain level 2 standard modules of type $A^{(2)}_{\textrm{odd}}$, and prove the corresponding sum-product identities except for $A^{(2)}_{6n+3}$. These identities generalize the identities of G\"ollnitz-Gordon (mod 8), Rogers-Ramanujan (mod 5) and (partially) Nandi (mod 14).

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Motoki Takigiku, Shunsuke Tsuchioka. 2026-06-30. A generalization of partition identities of G\"ollnitz-Gordon, Rogers-Ramanujan and Nandi. https://arxiv.org/abs/2606.31821

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