An extension of Venkatesh's converse theorem to the Selberg class

Research output: Contribution to journalArticle (Academic Journal)peer-review

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 languageEnglish
Article numbere26
Number of pages10
JournalForum of Mathematics, Sigma
Volume11
Early online date31 Mar 2023
DOIs
Publication statusPublished - 2023

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