2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67190This is a report on the global aspects of the Langlands-Shahidi method which in conjunction with converse theorems of Cogdell and Piatetski-Shapiro has recently been instrumental in establishing a significant number of new and surprising cases of Langlands Functoriality Conjecture over number fields. They have led to striking new estimates towards Ramanujan and Selberg conjectures.Number Theory11F70, 11R39, 11R42, 11S37, 22E55text