2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98190We study the arithmetic property which allows to sharpen number-theoretic estimates. Previous results on this property are, as a rule, quantitive. The application of our general qualitive theorems to generalized hypergeometric functions extends the set of irrational numbers which are the values of these functions.28 pages, AmSTeX (Russian); submitted for publicationNumber TheoryClassical Analysis and ODEs11J82, 33C20 (Primary), 11C, 05A10text