Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911851989696512 |
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| author | Nakagawa, Akio |
| author_facet | Nakagawa, Akio |
| contents | We prove sum representations of Appell-Lauricella functions over a finite field using confluent hypergeometric functions over the finite field. As an application, we also prove transformation formulas, summation formulas and reduction formulas for Appell-Lauricella functions over the finite field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_15936 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications Nakagawa, Akio Number Theory We prove sum representations of Appell-Lauricella functions over a finite field using confluent hypergeometric functions over the finite field. As an application, we also prove transformation formulas, summation formulas and reduction formulas for Appell-Lauricella functions over the finite field. |
| title | Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications |
| topic | Number Theory |
| url | https://arxiv.org/abs/2306.15936 |