Some sufficient conditions of a given series with rational terms converging to an irrational number or a transcdental number

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165091In this paper, we propose various sufficient conditions to determine if a given real number is an irrational number or a transcendental number and also apply these conditions to some interesting examples, particularly,one of them comes from complex analytic dynamics14pagesNumber Theory11J72,11J81Some sufficient conditions of a given series with rational terms converging to an irrational number or a transcdental numbertext