An algebraic proof of Colombo's difference-power determinant conjecture

Kun Li, Li Tie, Peng Wang +1

Let $n\ge 2$ be even, let $\lambda =({\lambda }_1,\dots ,{\lambda }_n)\in {\mathbb{R}}^n$ have pairwise distinct coordinates, and define the difference-power matrix \[ A_d(λ) := \bigl[(λ_r-λ_s)^d\bigr]_{r,s=1}…