Multiple Rogers--Ramanujan type identities for torus links
Number Theory
2024-11-12 v1 Algebraic Geometry
Combinatorics
Abstract
In this paper, we establish simple -fold summation expressions for the Quot and motivic Cohen--Lenstra zeta functions associated with the 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.
Cite
@article{arxiv.2411.07198,
title = {Multiple Rogers--Ramanujan type identities for torus links},
author = {Shane Chern},
journal= {arXiv preprint arXiv:2411.07198},
year = {2024}
}