Riemann's hypothesis as an eigenvalue problem. II

We continue the investigations concerning the eigenvalues λ₁,...,λ_N-1 of a certain matrix A_N over the integers. On one side they permit an equivalent formulation of Riemann's hypothesis, and on the other side they are fairly uniformly distributed-with some characteristic exceptions. Section 1 contains arithmetic properties of the characteristics polynomial χ_N(x) of A_N and in particular the examination of χ_N(x) at x=1, which leads to a multiplicative function ρ{variant} similar to the Möbius function μ. Section 2 gives estimates for the large eigenvalues of A_N and for the power sums of all eigenvalues.