On Euler products and the classification of automorphic representations. I. (English) Zbl 0473.12008


11R39 Langlands-Weil conjectures, nonabelian class field theory
11F27 Theta series; Weil representation; theta correspondences
11R42 Zeta functions and \(L\)-functions of number fields
11F70 Representation-theoretic methods; automorphic representations over local and global fields
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings
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