Timeline for $\zeta(s+1)/\zeta(s)$
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 25, 2010 at 15:42 | comment | added | Marc Palm | The conditional convergence of $\sum_{n=1}^{\infty} \mu(n) n^{-s}$ in $\Re s >1/2$ is equivalent to the Riemann Hypothesis. We know that $\sum_{n=1}^{\infty} n^{-s-1}$ converges for $\Re s >0$. From these two fact, you can deduce that the convergence of $\zeta(s+1)/\zeta(s)$ in $\Re s >1/2$ is actually equivalent to RH. | |
| May 4, 2010 at 13:56 | vote | accept | Scott Guthery | ||
| May 4, 2010 at 1:45 | history | undeleted | François G. Dorais | ||
| May 4, 2010 at 1:42 | history | deleted | François G. Dorais | ||
| May 4, 2010 at 1:41 | history | answered | François G. Dorais | CC BY-SA 2.5 |