Szegő-type determinant asymptotics for generalized Hilbert matrices with edge eigenvalues

Martin Gebert, Heinrich Küttler

We compute the large-$N$ asymptotics of the determinant of the identity plus or minus a generalized Hilbert matrix. For $N\in \mathbb{N}$ and $δ\in \mathbb{R} \setminus \{-1, -2,…