Legendre symbols related to $D_p(b,1)$

Xin-Qi Luo, Wei Xia

Let $p$ be an odd prime. For any $b,c\in \mathbb{Z}$, Z.-W. Sun introduced the new-type determinant $$D_p(b,c)=|(i^2+bij+c{j}^2{)}^{p-2}{|}_{1⩽i,j⩽p-1},$$ and studied it…