Timeline for Is the value of $\sum\limits_{k=1}^{\infty}\frac1{(C_k)^n}$ known?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 4, 2018 at 17:57 | comment | added | Richard Stanley | @AchimKrause You are right, my statement needs to be modified. | |
| Jun 4, 2018 at 8:36 | comment | added | Achim Krause | What about $c_k = \frac{1}{(k+1)^2}$? | |
| Jun 3, 2018 at 23:04 | comment | added | Richard Stanley | I think the following is plausible. GIven a sequence $c_0, c_1,\dots$ of complex numbers for which the sum $\sum c_k$ is absolutely convergent, the sum $\sum_{k\geq 0}c_k^n$ has a closed form expression (for any reasonable definition of "closed form") for all integers $n\geq 1$ if and only if $\sum c_kx^k$ is a rational function. | |
| Jun 3, 2018 at 3:53 | answer | added | T. Amdeberhan | timeline score: 0 | |
| May 28, 2018 at 22:59 | history | edited | Gerry Myerson | CC BY-SA 4.0 |
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| May 28, 2018 at 21:21 | answer | added | Robert Israel | timeline score: 8 | |
| May 28, 2018 at 20:45 | history | asked | Mare | CC BY-SA 4.0 |