Timeline for What are the connections between pi and prime numbers?
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Sep 12, 2021 at 9:55 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ | ||
| May 29, 2014 at 15:06 | comment | added | Geoff Robinson | @Terry Tao : Thanks a lot. While my comment above predates the MO 164092 post, it is good to have a reference to it being known to Ramanujan. There seems to be no reason Euler wny Euler couldn't have proved it. | |
| May 29, 2014 at 14:45 | comment | added | Terry Tao | Related: mathoverflow.net/questions/164092/… | |
| Mar 16, 2013 at 18:31 | comment | added | Geoff Robinson | @i707107 :OK, thanks for clarifying. | |
| Mar 16, 2013 at 17:21 | comment | added | Sungjin Kim | @Geoff: Of course I use zeta values at 2 and 4. I tried to show another expression. | |
| Mar 16, 2013 at 14:51 | comment | added | Geoff Robinson | @i707107: Are you saying that you can derive that formula without using values of $\zeta$ at all, or that you can calculate it from $\zeta(2)$ alone? | |
| Mar 16, 2013 at 4:24 | comment | added | Sungjin Kim | @Francois: A typo, should be $\zeta(4)/\zeta^2(2)$. | |
| Mar 16, 2013 at 4:22 | comment | added | Sungjin Kim | @Geoff: Another way of seeing this: $\sum_{(a,b)=1} \frac{1}{a^2b^2}=\frac{5}{2}$. | |
| Mar 16, 2013 at 1:01 | comment | added | Geoff Robinson | @Francois: I do not know. I think that there are quite a few instances in number theory where computations which eventually have a rational answer require $\pi$ in an apparently essential fashion along the way. | |
| Mar 16, 2013 at 0:18 | comment | added | François G. Dorais | Neat. Is there an easier way to see that $\zeta(4)/\zeta(2) = 5/2$? | |
| Mar 15, 2013 at 21:27 | history | answered | Geoff Robinson | CC BY-SA 3.0 |