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arXiv · 2409.07008

On some determinant conjectures

Ze-Hua Zhu·Chen-Kai Ren
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Abstract

Let $p$ be a prime and $c,d\in\mathbb{Z}$. Sun introduced the determinant $D_p^-(c,d):=\det[(i^2+cij+dj^2)^{p-2}]_{1 3$. In this paper, we confirm three conjectures on $D_p^-(c,d)$ proposed by Zhi-Wei Sun.

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Ze-Hua Zhu, Chen-Kai Ren. 2024-09-11. On some determinant conjectures. https://arxiv.org/abs/2409.07008

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