Andrew R. Booker, M. Krishnamurthy
Abstract
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We prove a generalization of the classical converse theorem of Weil, allowing the twists by nontrivial Dirichlet characters to have arbitrary poles.
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We prove a generalization of the classical converse theorem of Weil, allowing the twists by nontrivial Dirichlet characters to have arbitrary poles.
Key concepts: Converse, Converse theorem, Mathematics, Generalization, Pure mathematics, Mathematical analysis, Automorphic form, Geometry