Hilbert modular forms and the Ramanujan conjecture
نویسنده
چکیده
Let F be a totally real field. In this paper we study the Ramanujan Conjecture for Hilbert modular forms and the Weight-Monodromy Conjecture for the Shimura varieties attached to quaternion algebras over F . As a consequence, we deduce, at all finite places of the field of definition, the full automorphic description conjectured by Langlands of the zeta functions of these varieties. Concerning the first problem, our main result is the following:
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تاریخ انتشار 2003