  We construct a probability model seemingly unrelated to the considered
stochastic process of coagulation and fragmentation. By proving for this model
the local limit theorem, we establish the asymptotic formula for the partition
function of the equilibrium measure for a wide class of parameter functions of
the process. This formula proves the conjecture stated in [dgg] for the above
class of processes. The method used goes back to A.Khintchine.
