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تسجيل مستخدم جديدRamanujan duals and automorphic spectrum
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We introduce the notion of the automorphic dual of a matrix algebraic group defined over $Q$. This is the part of the unitary dual that corresponds to arithmetic spectrum. Basic functorial properties of this set are derived and used both to deduce arithmetic vanishing theorems of ``Ramanujan type as well as to give a new construction of automorphic forms.
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