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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| Format: | Journal article |
| Izdano: |
Polskiej Akademii Nauk, Instytut Matematyczny
2020
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