Timeline for Vanishing of certain periodic series: A question related to $L(1 , \chi) \neq 0$.
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 28, 2015 at 14:47 | vote | accept | George Shakan | ||
| Jan 25, 2015 at 0:39 | comment | added | paul garrett | I think it has been established in various ways that linear combinations of nice $L$-functions do not reliably have non-vanishing properties that the individuals might have, although they'd obviously have the same growth properties. (E.g., the Bombieri-Hejhal paper about linear combinations of the two ideal-class characters for $\sqrt{-5}$.) That is, RH-type results are not at all stable under linear combinations, but Lindelof-type results, or subconvexity results, would be. So, on general considerations already, I'd be surprised if such a thing were true... | |
| Jan 24, 2015 at 20:51 | answer | added | Vesselin Dimitrov | timeline score: 16 | |
| Jan 24, 2015 at 20:45 | answer | added | Noam D. Elkies | timeline score: 14 | |
| Jan 24, 2015 at 20:21 | history | asked | George Shakan | CC BY-SA 3.0 |