paper

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

arXiv:2401.04037 · doi:10.1016/j.aim.2025.110716.

Abstract

We give a new proof of the converse theorem for Maass forms on 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.

Corrected and improved bounds for Whittaker functions in Lemmas 2.5 and 2.6

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