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arXiv · 2411.07198

Multiple Rogers--Ramanujan type identities for torus links

Shane Chern
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Abstract

In this paper, we establish simple $k$-fold summation expressions for the Quot and motivic Cohen--Lenstra zeta functions associated with the $(2,2k)$ torus links. Such expressions lead us to some multiple Rogers--Ramanujan type identities and their finitizations, thereby confirming a conjecture of Huang and Jiang. Several other properties of the two zeta functions will be examined as well.

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Shane Chern. 2024-11-11. Multiple Rogers--Ramanujan type identities for torus links. https://arxiv.org/abs/2411.07198

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