Weil's converse theorem for Maass forms and cancellation of zeros

We prove two principal results. Firstly, we characterise Maass forms in terms of functional equations for Dirichlet series twisted by primitive characters. The key point is that the twists are allowed to be meromorphic. This weakened analytic assumption applies in the context of our second theorem,...

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Bibliographic Details
Main Authors: Neururer, M, Oliver, T
Format: Journal article
Published: Polskiej Akademii Nauk, Instytut Matematyczny 2020