On some conjectural determinants of Sun involving residues

Rituparna Chaliha, Gautam Kalita

For an odd prime $p$ and integers $d,k,m$ with gcd$(p,d)=1$ and $2\le k\le \frac{p-1}{2}$, we consider the determinant \begin{equation*} S_{m,k}(d,p) = \left|(α_i - α_j)^m\righ…