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On some determinant conjectures (2409.07008v1)
Published 11 Sep 2024 in math.NT and math.CO
Abstract: Let $p$ be a prime and $c,d\in\mathbb{Z}$. Sun introduced the determinant $D_p-(c,d):=\det[(i2+cij+dj2){p-2}]_{1<i,j<p-1}$ for $p>3$. In this paper, we confirm three conjectures on $D_p-(c,d)$ proposed by Zhi-Wei Sun.
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