Arithmetic Constraints on Hypergeometric Identities
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910054170492928 |
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| author | Iwasaki, Katsunori Kusakabe, Mina |
| author_facet | Iwasaki, Katsunori Kusakabe, Mina |
| contents | The standard literature on special functions contains a lot of hypergeometric identities involving products and quotients of gamma functions, but still the occurrence of such identities is a sporadic phenomenon. This is because the existence of them is constrained by severe arithmetic conditions. We demonstrate this kind of constraints by focusing on a certain data region where the essential nature of the issue comes out clearly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14981 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Arithmetic Constraints on Hypergeometric Identities Iwasaki, Katsunori Kusakabe, Mina Classical Analysis and ODEs 33C05 The standard literature on special functions contains a lot of hypergeometric identities involving products and quotients of gamma functions, but still the occurrence of such identities is a sporadic phenomenon. This is because the existence of them is constrained by severe arithmetic conditions. We demonstrate this kind of constraints by focusing on a certain data region where the essential nature of the issue comes out clearly. |
| title | Arithmetic Constraints on Hypergeometric Identities |
| topic | Classical Analysis and ODEs 33C05 |
| url | https://arxiv.org/abs/2603.14981 |