2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64578We 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.The paper will be published in Israel Journal of Mathematics, 130,2002ProbabilityMathematical Physics60J27,60K35,82C22,82C26text