Multiple Rogers--Ramanujan type identities for torus links
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917833977364480 |
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| author | Chern, Shane |
| author_facet | Chern, Shane |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07198 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiple Rogers--Ramanujan type identities for torus links Chern, Shane Number Theory Algebraic Geometry Combinatorics 11P84, 14D23, 14H60, 05A15 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. |
| title | Multiple Rogers--Ramanujan type identities for torus links |
| topic | Number Theory Algebraic Geometry Combinatorics 11P84, 14D23, 14H60, 05A15 |
| url | https://arxiv.org/abs/2411.07198 |