Timeline for Nonvanishing of central L-values of quadratic twists?
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
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| Feb 27, 2011 at 16:17 | comment | added | Denis Chaperon de Lauzières | Actually, I now realize that $1/(\log D)^A$ was too optimistic for analytic methods... Sorry for the misleading statement: the point is that one needs an upper bound for the second moment of the special values which is sharp (up to power of log), and this is not known. (See Soundararajan's paper arxiv.org/pdf/0907.4747 for what is probably the state of the art). But one can get $1/D^{\epsilon}$ along these lines for any $\epsilon>0$; a good reference for this is the paper of Perelli and Pomykala in Acta Arithmetica 1997. | |
| Feb 27, 2011 at 15:39 | comment | added | Kimball | Thanks. This is very helpful. Can you suggest any references for your comments in (2)? | |
| Feb 26, 2011 at 19:05 | history | answered | Denis Chaperon de Lauzières | CC BY-SA 2.5 |