Timeline for Functoriality for triple product GL(2) x GL(2) x GL(2)
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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S Jul 14, 2022 at 13:47 | history | suggested | Samuel Adrian Antz | CC BY-SA 4.0 |
Added \operatorname to GL. REEDIT: Removed formula from title because of MO guidelines.
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Jul 14, 2022 at 13:29 | review | Suggested edits | |||
S Jul 14, 2022 at 13:47 | |||||
May 16, 2014 at 3:21 | comment | added | Ramin | But suppose $f$, $g$, and $h$ are holomorphic modular forms. Is there a way to prove (potential) automorphy of $f \times g \times h$? | |
May 16, 2014 at 3:11 | comment | added | Ramin | By Cogdell--Piatetski-Shapiro, j automorphic on GL(n) for n up to 6 is sufficient. So, the long answer is no as well. | |
May 13, 2014 at 6:53 | comment | added | Marty | The slightly longer answer is that proving such a result using traditional methods would be to check nice analytic properties for L-functions of twists, e.g. L(s, f x g x h x j) where j is an automorphic form on GL(7) (or a bit lower if you're lucky). That's out of range for now, as far as I can tell. | |
May 12, 2014 at 22:24 | comment | added | Lucia | The short answer is no. | |
May 12, 2014 at 22:03 | history | asked | 7-adic | CC BY-SA 3.0 |