A GL(3) converse theorem via a "beyond endoscopy'' approach

We give a new proof of the converse theorem for Maass forms on ${\rm GL}(3)$ using a technique that is inspired by Langlands' philosophy of "beyond endoscopy", thereby implementing these ideas for the first time in a higher rank setting.

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Hauptverfasser: Blomer, Valentin, Leung, Wing Hong
Format: Artikel
Sprache:eng
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Zusammenfassung:We give a new proof of the converse theorem for Maass forms on ${\rm GL}(3)$ using a technique that is inspired by Langlands' philosophy of "beyond endoscopy", thereby implementing these ideas for the first time in a higher rank setting.
DOI:10.48550/arxiv.2401.04037