Timeline for Can the inverse of the Riemann zeta function in $s > 1$ be expressed as a series?
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 11, 2020 at 18:24 | comment | added | AndreyF | I believe this problem is still more important than at first may seem. Since $\zeta(s)$ is monotone and smooth for real $s>1$ it has a smooth inverse and so is analytic, at least as a real "one-dimensional" function. The question is whether or not this inverse has an analytic continuation and in particular what its properties and limitations are. I would much like to have answers and insights to this more general question. I worry about the Stieltjes constants -- they behave terribly. | |
| Aug 31, 2020 at 11:25 | comment | added | Alex Gavrilov | This problem is not substantially different from general series reversion, so you should not have hopes for closed formulas more simple then for the reverse series itself. | |
| Aug 31, 2020 at 4:44 | history | asked | Nilotpal Kanti Sinha | CC BY-SA 4.0 |