2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73434This is an integrated part of our Geo-Arithmetic Program. In this paper we introduce and hence study non-abelian zeta functions and more generally non-abelian $L$-functions for number fields, based on geo-arithmetical cohomology, geo-arithmetical truncation and Langlands' theory of Eisenstein series.37 pagesAlgebraic Geometrytext