Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 014-04. Temperedness at ramified places for globally generic exceptional groups
Manuscript map · lines 2725–2734
OpenAI@2026-10-07#rem:oai-p-014-04
Authors: OpenAI. Family 014.
Title: Temperedness at ramified places for globally generic exceptional groups.
Abstract: We prove the generalized Ramanujan conjecture for globally generic cuspidal automorphic representations of split connected adjoint exceptional groups over global function fields. Every local component is tempered, without restrictions on characteristic or ramification depth. The proof extends the unramified Ramanujan theorem of a companion paper to all ramified places.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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