  We consider recent work linking majorization and trumping, two partial orders
that have proven useful with respect to the entanglement transformation problem
in quantum information, with general Dirichlet polynomials, Mellin transforms,
and completely monotone sequences. We extend a basic majorization result to the
more physically realistic infinite-dimensional setting through the use of
generalized Dirichlet series and Riemann-Stieltjes integrals.
