On the eigenvalues of certain number-theoretic matrices

Mika Mattila, Pentti Haukkanen

In this paper we study the structure and give bounds for the eigenvalues of the $n\times n$ matrix, which $ij$ entry is $(i,j{)}^{\alpha }[i,j{]}^{\beta }$, where $α,β\in\Rset$, $(i,j)$ is the greate…