2 problems

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The Ramanujan conjecture for \mathrm{GL}_{3} Hecke eigenvalues
Ramanujan conjecture. The Langlands parameters satisfy $\operatorname{Re}(\mu_{i})=0$ for $i=1,2,3$ . This is the expected temperedness of the associated automorphic representation…
Conjectureopenautomorphic-forms gl3 ramanujan-conjecturearXiv posted 2 days ago
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Ash and Pollack's symmetric-square conjecture for cohomological GL(3) forms
Ash–Pollack conjecture. Every cohomological form for $GL(3)$ of full level is given by the symmetric-square construction.
Conjectureopenautomorphic-forms gl3 representation-theoryarXiv posted 2 days ago

The Ramanujan conjecture for \mathrm{GL}_{3} Hecke eigenvalues