On a generalization of R. Chapman's "evil determinant"

Li-Yuan Wang, Hai-Liang Wu, He-Xia Ni

Let $p$ be an odd prime and $x$ be an indeterminate. Recently, Z.-W. Sun proposed the following conjecture: $$\det\left[x+\left(\frac{j-i}{p}\right)\right]_{0\le i,j\le \frac{p-1}{…