Timeline for Nonvanishing of central L-values of quadratic twists?
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 4, 2011 at 10:16 | comment | added | Tim Dokchitser | P.S. Dipendra Prasad confirms that they have withdrawn the conjecture. | |
| Mar 1, 2011 at 22:31 | comment | added | Tim Dokchitser | No problem, thanks for trying to look this up though! I'll probably ask one of GGP. (I can't figure our the exact connection to this conjecture 24.1 myself.) | |
| Mar 1, 2011 at 19:11 | comment | added | David Hansen | Tim, Junkie: I think it's been deleted from this more recent draft of GGP. I remember explicitly seeing the never-vanishing conjecture for non-self-dual things in this paper, but now for the life of me I cannot find it! | |
| Feb 28, 2011 at 12:59 | comment | added | Junkie | math.ucsd.edu/~wgan/work8-3.pdf Do you mean page 96, conjecture 24.1 and following? | |
| Feb 27, 2011 at 16:45 | comment | added | Tim Dokchitser | @David: This sounds like a very interesting conjecture, actually. Do you have a precise reference? Does this really mean that the only L-functions that may vanish at the central point come from representations that are twist-equivalent to their duals? | |
| Feb 26, 2011 at 17:15 | comment | added | David Hansen | He probably told you the conjecture that if $\pi$ on $GL(n)$ isn't twist-equivalent to its dual, then $L(1/2,\pi)\neq 0$. (See e.g. his paper with Gan and Gross.) This is vacuous for $GL(2)$ since everything is a twist of its dual. | |
| Feb 26, 2011 at 1:02 | comment | added | Kimball | Hmmm.... maybe Dipendra has some ideas, but the work Dokchitser refers to in his comment says Random Matrix Theory predicts there are non self-dual examples vanishing at the center. | |
| Feb 25, 2011 at 16:57 | history | answered | Anon | CC BY-SA 2.5 |