Timeline for On the Dirichlet series for $1/\zeta(s)$ for real $s$ and the zeros of zeta
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 8, 2019 at 23:09 | comment | added | Greg Martin | Sorry, I misread—I was thinking of the general situation of Dirichlet series convergence, but you are indeed postulating an actual pole of $1/\zeta(s)$. | |
| Dec 8, 2019 at 13:38 | comment | added | Wojowu | @GregMartin What partial sums do you mean? The point of the argument is to deduce divergence of a sum from existence of a pole. Also I thought it is possible for a Dirichlet series to converge at a point and have a logarithmic singularity on the same abscissa - doesn't $\log\zeta(s)$ have that property? | |
| Dec 8, 2019 at 12:07 | comment | added | Greg Martin | I think "pole" is a bit too specific in ths last phrase; the value grows more slowly than it could if the partial sums didn't converge. | |
| Sep 18, 2019 at 17:29 | history | answered | Wojowu | CC BY-SA 4.0 |