On new identities of Jacobi sums and related cyclotomic matrices
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917453652557824 |
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| author | Wu, Hai-Liang Pan, Hao |
| author_facet | Wu, Hai-Liang Pan, Hao |
| contents | In this paper, using some arithmetic properties of Jacobi sums, we investigate some products involving Jacobi sums and reveal the connections between these products and certain cyclotomic matrices. In particular, as an application of our main results, we confirm a conjecture posed by Z.-W. Sun in 2019, and obtain a stronger result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On new identities of Jacobi sums and related cyclotomic matrices Wu, Hai-Liang Pan, Hao Number Theory In this paper, using some arithmetic properties of Jacobi sums, we investigate some products involving Jacobi sums and reveal the connections between these products and certain cyclotomic matrices. In particular, as an application of our main results, we confirm a conjecture posed by Z.-W. Sun in 2019, and obtain a stronger result. |
| title | On new identities of Jacobi sums and related cyclotomic matrices |
| topic | Number Theory |
| url | https://arxiv.org/abs/2512.21177 |