The multiplicative Hilbert matrix

Ole Fredrik Brevig, Karl-Mikael Perfekt, Kristian Seip +2

It is observed that the infinite matrix with entries $(\sqrt{mn}\log (mn){)}^{-1}$ for $m,n\ge 2$ appears as the matrix of the integral operator $\mathbf{H}f(s):=\int_{1/2}^{+\infty…