  We describe a general method to prove meromorphic continuation of dynamical
zeta functions to the entire complex plane under the condition that the
corresponding partition functions are given via a dynamical trace formula from
a family of transfer operators. Further we give general conditions for the
partition functions associated with general spin chains to be of this type and
provide various families of examples for which these conditions are satisfied.
  Keywords: Dynamical zeta function, transfer operator, trace formulae,
thermodynamic formalism, spin chain, Fock space, regularized determinants,
weighted composition operator.
