2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/45322The study of the singularities and zeros of the generating functions of multiplicity distributions is advocated. Some hints from well known probability distributions and experimental data are given. The statistical mechanics analogies provoke to look for a signature of phase transitions. The program of further experimental studies of the singularities is formulated.6 pages, preprint FIAN TD 10/94, to be published in JETP LettHigh Energy Physics - Phenomenologytext