Timeline for Known degrees of L-functions F and G whose Rankin-Selberg convolution is an L-function
Current License: CC BY-SA 3.0
9 events
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| Dec 15, 2016 at 11:51 | history | edited | Myshkin | CC BY-SA 3.0 |
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| Dec 14, 2016 at 15:30 | comment | added | reuns | I'd say It also includes the Rankin-Selberg convolution of those | |
| Dec 14, 2016 at 14:55 | comment | added | Kimball | What are you saying about GL(2) x GL(3)? Functoriality is known by Kim-Shahidi. | |
| Dec 14, 2016 at 12:03 | history | edited | Myshkin | CC BY-SA 3.0 |
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| Dec 14, 2016 at 11:47 | comment | added | Myshkin | @DavidLoeffler You're right, I didn't mean to say that those were all the known cases. I'll fix it. Do you know of other cases where both Ramanujan and modularity of R-S are known? | |
| Dec 14, 2016 at 10:10 | comment | added | Sylvain JULIEN | @David Loeffler : would preprints.ihes.fr/2016/M/M-16-05.pdf provide other examples of L-functions satisfying the required property ? | |
| Dec 14, 2016 at 9:46 | comment | added | David Loeffler | I am fairly sure that the generalised Ramanujan conjecture is known in a bit more generality than that! See e.g. Clozel's article "Purity Reigns Supreme", imj-prg.fr/fa/bpFiles/Clozel2.pdf, which shows for instance that a self-dual cohomological cuspidal automorphic representation of $GL_n / \mathbf{Q}$ of conductor 1 must satisfy Ramanujan. | |
| Dec 14, 2016 at 6:20 | vote | accept | Sylvain JULIEN | ||
| Dec 14, 2016 at 2:59 | history | answered | Myshkin | CC BY-SA 3.0 |