2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68906We will introduce new functional equations (\ref{eq:hana}) and (\ref{eq:hana2}) which are strongly related to well-known formulae (\ref{eq:young}) and (\ref{eq:young2}) of number theory, and investigate the solutions of the equations. Moreover, we will also study some stability problems of those equations.8 pagesNumber TheorySome functional equations originating from number theorytext