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Timeline for Bound for $GL(3)$ symmetric square

Current License: CC BY-SA 4.0

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Mar 2, 2021 at 6:49 answer added 2734364041 timeline score: 4
Dec 3, 2020 at 22:52 comment added GH from MO @2734364041: I haven't thought about this, and I don't have time to think about it, unfortunately.
Dec 3, 2020 at 8:52 comment added 2734364041 @GHfromMO I would have guessed that $|a_n|$ is majorized by the $n$-th Dirichlet coefficient of $L(s,\pi\times\widetilde{\pi})$, or perhaps something "close" to that (at least for $\pi$ without ramification). This guess is based on the factorization $L(s,\pi\times\widetilde{\pi})=L(s,\pi,\mathrm{Sym}^2)L(s,\pi,\mathrm{Ext}^2)$ and the nonnegativity of the coefficients of $L(s,\pi\times\widetilde{\pi})$. Is there an easy way to see that this approach fails?
Nov 10, 2020 at 10:38 comment added GH from MO We certainly expect this, and it would follow from special cases of Langlands functoriality. Proving it is a different matter.
S Nov 10, 2020 at 9:26 history suggested Nguyen CC BY-SA 4.0
removed redundant variable
Nov 10, 2020 at 7:10 review Suggested edits
S Nov 10, 2020 at 9:26
Nov 10, 2020 at 2:48 history edited Desiderius Severus CC BY-SA 4.0
Real parts
Nov 10, 2020 at 0:42 history edited Desiderius Severus CC BY-SA 4.0
Slightly larger domain
Nov 9, 2020 at 16:02 history edited GH from MO CC BY-SA 4.0
edited tags
Nov 9, 2020 at 15:30 history asked Desiderius Severus CC BY-SA 4.0