Total nonnegativity of GCD matrices and kernels

Dominique Guillot, Jiaru Wu

Let $X=(x_1,\dots ,x_n)$ be a vector of distinct positive integers. The $n\times n$ matrix $S=S(X):=(\gcd (x_i,x_j){)}_{i,j=1}^n$, where $\gcd (x_i,x_j)$ denotes the greatest com…