Timeline for Has universality been definitely established for the whole Selberg class?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 7, 2015 at 23:53 | comment | added | Myshkin | Is there any news about this issue? | |
| May 6, 2014 at 11:07 | comment | added | Sylvain JULIEN | Joern Steuding sent me his article, and the condition in it to prove the universality is the assumption that $\lim_{x\to\infty}\dfrac{1}{\pi(x)}\sum_{p\leqslant x}\vert a_{p}\vert^{2}=k$ with $k$ a constant. The PNT for the Selberg class is $\sum_{n\leqslant x}b_{n}\log n\sim mx$ with $m$ the order of the pole of $F$ at $s=1$. It remains to show that the latter implies the former. | |
| Apr 30, 2014 at 20:11 | comment | added | Sylvain JULIEN | I just emailed Yashiro-sensei. The response might not come before a few days though, since the golden week is probably about to start in Japan. | |
| Apr 30, 2014 at 18:57 | comment | added | Marc Palm | authors... I d send a joint email at all of them in this case. | |
| Apr 30, 2014 at 17:53 | comment | added | Sylvain JULIEN | No. By the way, which author do you talk about? Yoshikatsu Yashiro? | |
| Apr 30, 2014 at 17:51 | comment | added | Marc Palm | Did you ask the author via email? | |
| Apr 30, 2014 at 17:45 | comment | added | Sylvain JULIEN | And the second one there:arxiv.org/abs/1311.0754 | |
| Apr 30, 2014 at 17:42 | comment | added | Sylvain JULIEN | The first article can be found there:link.springer.com/article/10.1007%2Fs10986-010-9087-z | |
| Apr 30, 2014 at 17:33 | comment | added | Marc Palm | Please add references. | |
| Apr 30, 2014 at 17:17 | history | asked | Sylvain JULIEN | CC BY-SA 3.0 |