2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124516We address the question of the classification under blow-Nash equivalence of simple Nash function germs. We state that this classification coincides with the real analytic classification. We prove moreover that a simple germ can not be blow-Nash equivalent to a nonsimple one. The method is based on the computation of relevant coefficients of the real zeta functions associated to a Nash germ via motivic integration.16 pagesAlgebraic Geometry14B05, 14P20, 14P25, 32S15text