Hilbert Modular Forms and the Ramanujan Conjecture

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104708This paper completes the proof of the Ramanujan Conjecture for holomorphic Hilbert modular forms whose weights are all congruent modulo 2. As a consequence, the Weight-Monodromy Conjecture and the zeta function conjecture of Langlands are verified for all Quaternionic Shimura varieties.28 pagesNumber TheoryAlgebraic Geometry11F30; 11F41; 11F70; 11F80Hilbert Modular Forms and the Ramanujan Conjecturetext