2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63379We give density results for automorphic representations of Hilbert modular groups. In particular, we show that there are infinitely many automorphic representations that have a prescribed discrete series factor at some (but not all) real places.35 pages, LaTeXNumber TheoryRepresentation Theory11F41 (Primary) 20G30 (Secondary)text