Notes on $2D$ $\mathbb F_p$-Selberg integrals
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929499232272384 |
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| author | Varchenko, Alexander |
| author_facet | Varchenko, Alexander |
| contents | We prove a two-dimensional $\mathbb F_p$-Selberg integral formula, in which the two-dimensional $\mathbb F_p$-Selberg integral $\bar S(a,b,c;l_1,l_2)$ depends on positive integer parameters $a,b,c$, $l_1,l_2$ and is an element of the finite field $\mathbb F_p$ with odd prime number $p$ of elements. The formula is motivated by the analogy between multidimensional hypergeometric solutions of the KZ equations and polynomial solutions of the same equations reduced modulo $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08442 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Notes on $2D$ $\mathbb F_p$-Selberg integrals Varchenko, Alexander Algebraic Geometry Mathematical Physics Number Theory We prove a two-dimensional $\mathbb F_p$-Selberg integral formula, in which the two-dimensional $\mathbb F_p$-Selberg integral $\bar S(a,b,c;l_1,l_2)$ depends on positive integer parameters $a,b,c$, $l_1,l_2$ and is an element of the finite field $\mathbb F_p$ with odd prime number $p$ of elements. The formula is motivated by the analogy between multidimensional hypergeometric solutions of the KZ equations and polynomial solutions of the same equations reduced modulo $p$. |
| title | Notes on $2D$ $\mathbb F_p$-Selberg integrals |
| topic | Algebraic Geometry Mathematical Physics Number Theory |
| url | https://arxiv.org/abs/2409.08442 |