2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67228In this paper we announce some results obtained for certain algebraic functions, which we call of cyclotomic type. The main results properly resemble von Staudt-Clausen's theorem and Kummer's congruence for the Bernoulli numbers, and such theorems for the Hurwitz numbers.Number TheoryTheory of Generalized Bernoulli-Hurwitz Numbers in the Algebraic Functions of Cyclotomic Typetext