  We continue our study of a generalization of the D-dimensional linearized
Vasiliev higher-spin equations to include a tower of partially massless (PM)
fields. We compute one-loop effective actions by evaluating zeta functions for
both the "minimal" and "non-minimal" parity-even versions of the theory.
Specifically, we compute the log-divergent part of the effective action in
odd-dimensional Euclidean AdS spaces for D=7 through 19 (dual to the a-type
conformal anomaly of the dual boundary theory), and the finite part of the
effective action in even-dimensional Euclidean AdS spaces for D=4 through 8
(dual to the free energy on a sphere of the dual boundary theory). We pay
special attention to the case D=4, where module mixings occur in the dual field
theory and subtlety arises in the one-loop computation. The results provide
evidence that the theory is UV complete and one-loop exact, and we conjecture
and provide evidence for a map between the inverse Newton's constant of the
partially massless higher-spin theory and the number of colors in the dual CFT.
