Abstract
We extend Venkatesh’s proof of the converse theorem for classical holomorphic modular forms to arbitrary level and character. The method of proof, via the Petersson trace formula, allows us to treat arbitrary degree 2 gamma factors of Selberg class type.
Original language | English |
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Article number | e26 |
Number of pages | 10 |
Journal | Forum of Mathematics, Sigma |
Volume | 11 |
Early online date | 31 Mar 2023 |
DOIs | |
Publication status | Published - 2023 |