Symmetry of hypergeometric functions over finite fields and geometric interpretation
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918457975504896 |
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| author | Nakagawa, Akio |
| author_facet | Nakagawa, Akio |
| contents | We begin by defining general hypergeometric functions over finite fields and obtaining a finite field analogue of a classical symmetry in their complex counterparts. We give a geometric proof for the symmetry by constructing isomorphisms between certain algebraic varieties. The numbers of rational points on these varieties are hypergeometric functions over finite fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05858 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetry of hypergeometric functions over finite fields and geometric interpretation Nakagawa, Akio Number Theory We begin by defining general hypergeometric functions over finite fields and obtaining a finite field analogue of a classical symmetry in their complex counterparts. We give a geometric proof for the symmetry by constructing isomorphisms between certain algebraic varieties. The numbers of rational points on these varieties are hypergeometric functions over finite fields. |
| title | Symmetry of hypergeometric functions over finite fields and geometric interpretation |
| topic | Number Theory |
| url | https://arxiv.org/abs/2505.05858 |