On a $p$-adic extension of the Jacquet-Langlands correspondence to weight 1

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168507We consider a novel version of the classical Jacquet-Langlands {correspondence}, explore a $p$-adic extension of the Jacquet-Langlands correspondence, and as an explicit example we find an overconvergent automorphic form of weight~1 which corresponds to a classical modular form of weight~1, using both experimental and theoretical methods.17 pagesNumber Theory11F12; 11F85On a $p$-adic extension of the Jacquet-Langlands correspondence to weight 1text