Spectral asymptotics for a family of LCM matrices

Titus Hilberdink, Alexander Pushnitski

We consider the family of arithmetical matrices given explicitly by $$E(\sigma ,\tau )={\left\{\frac{n^{\sigma }{m}^{\sigma }}{[n,m{]}^{\tau }}\right\}}_{n,m=1}^{\infty },$$ where $[n,m]$ is the least common multiple of $…