Timeline for Functional equation of twisted triple product L-function
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jan 26, 2020 at 8:09 | comment | added | David Loeffler | If you get stuck, you might like to consult Ramakrishnan's paper "Modularity of the Rankin--Selberg L-series", where he proves the existence of the Rankin--Selberg lifting $GL_2 \times GL_2 \to GL_4$; he does this using the converse theorem, so the core of the proof is a very careful analysis of the analytic continuation and functional equation of the $GL_2 \times GL_2 \times GL_2$ triple product. | |
| Jan 25, 2020 at 21:42 | comment | added | tbg93dk | Alright, thank you for your help, I will try this. | |
| Jan 25, 2020 at 16:02 | comment | added | David Loeffler | I would do this by computing the Deligne $\varepsilon$-factor of the associated Weil-Deligne representation at $p$ (which might sound scary, but is actually rather explicit and simple since all the WD reps have a very simple shape). | |
| Jan 25, 2020 at 15:38 | comment | added | tbg93dk | Thank you very much for your clear answer. I do have some interest in the case where the character is quadratic. How would I go about computing the epsilon factor as you did? Do you have a reference that could be useful? Thank you. | |
| Jan 25, 2020 at 15:32 | vote | accept | tbg93dk | ||
| Jan 25, 2020 at 7:57 | history | answered | David Loeffler | CC BY-SA 4.0 |