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Nov 6, 2012 at 9:14 comment added S. Carnahan You may be aware of this already, but an anonymous blogger gave a nice argument using Hecke eigenvalues of the $E_2$ series: galoisrepresentations.wordpress.com/2012/10/26/…
Oct 2, 2012 at 13:59 comment added Joël Dear Paul, thanks for your answer. This is doubtlessly a conceptual proof, which for me is satisfying. But it is not something I can put in my course since I haven't time to discuss the converse theorems.
Oct 1, 2012 at 16:51 comment added paul garrett It's not "conceptual" in the sense you desire, but Weil's "Sur une formule classique" (Collected works vol III pp 198-200) uses the primordial version of "converse theorems" (in a self-contained fashion) to give a substantially believable proof.
Oct 1, 2012 at 16:18 comment added Joël You're right. Done.
Oct 1, 2012 at 16:18 history edited Joël CC BY-SA 3.0
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Oct 1, 2012 at 16:00 comment added Chandan Singh Dalawat It would be nice to mention the Hurwitz reference here (which journal and which year ?).
Oct 1, 2012 at 15:43 history asked Joël CC BY-SA 3.0