  We give a dynamical description, in terms of a Weil-type zeta function, to
the holomorphic torsion with coefficients for certain compact Hermitian locally
symmetric manifolds, whose connected group G of isometries of the universal
cover has only one conjugacy class of cuspidal maximal parabolic subgroup and
satisfies a technical Ansatz relative to the given coefficients. A
distinguishing feature of our zeta function is that its construction involves
in an essential way the geometry of a standard compactification of the
universal cover. The two senior authors are indebted to their junior colleague,
Jan Frahm, for his laborious work shedding light on the scope of the validity
of the Ansatz, and for writing up the attached Appendix. The results therein
show that for real rank one groups G the Ansatz is satisfied with respect to
any coefficients, for some rank two groups G it is satisfied with respect to
certain coefficients, and also that there are groups G which do not obey the
Ansatz.
