Hilbert Modular Forms and the Ramanujan Conjecture

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This 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 pages

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Number Theory, Algebraic Geometry, 11F30; 11F41; 11F70; 11F80

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http://salesiana.dossiersoluciones.com/handle/123456789/104708

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511007
 http://arxiv.org/abs/math/0511007

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arXiv