On some determinant conjectures
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929496380145664 |
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| author | Zhu, Ze-Hua Ren, Chen-Kai |
| author_facet | Zhu, Ze-Hua Ren, Chen-Kai |
| contents | Let $p$ be a prime and $c,d\in\mathbb{Z}$. Sun introduced the determinant $D_p^-(c,d):=\det[(i^2+cij+dj^2)^{p-2}]_{1<i,j<p-1}$ for $p>3$. In this paper, we confirm three conjectures on $D_p^-(c,d)$ proposed by Zhi-Wei Sun. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07008 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On some determinant conjectures Zhu, Ze-Hua Ren, Chen-Kai Number Theory Combinatorics Let $p$ be a prime and $c,d\in\mathbb{Z}$. Sun introduced the determinant $D_p^-(c,d):=\det[(i^2+cij+dj^2)^{p-2}]_{1<i,j<p-1}$ for $p>3$. In this paper, we confirm three conjectures on $D_p^-(c,d)$ proposed by Zhi-Wei Sun. |
| title | On some determinant conjectures |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2409.07008 |