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May 20, 2019 at 2:34 comment added Desiderius Severus Thanks Peter, this is a great and complete answer.
May 20, 2019 at 2:31 vote accept Desiderius Severus
Apr 30, 2019 at 15:55 history edited Peter Humphries CC BY-SA 4.0
added 234 characters in body
Apr 29, 2019 at 21:21 comment added Sylvain JULIEN Thank you for the fast answer.
Apr 29, 2019 at 21:19 comment added Peter Humphries @SylvainJULIEN yes, no, and no to your three questions.
Apr 29, 2019 at 21:18 comment added Sylvain JULIEN Also does the definition of the adjoint L-function imply $\pi$ and $\tilde{\pi}$ are orthogonal in some sense?
Apr 29, 2019 at 21:12 comment added Sylvain JULIEN If I understand well, the conjunction of self-duality and Ramanujan conjecture implies the set $\{t_{v,j}\}$ is invariant under the action of the complex conjugation right? Is there any link with RH?
Apr 29, 2019 at 13:39 history answered Peter Humphries CC BY-SA 4.0