Timeline for Show that the function $(n+2)\zeta(n+3)-\zeta(n+2)-n-1$ is positive on $\mathbb{N}.$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 20 at 20:52 | history | edited | LSpice | CC BY-SA 4.0 |
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| Oct 20 at 5:05 | comment | added | Fedor Petrov | Certainly: negative terms start with $k=n+3$, and they are way too small than the $k=2$ term, by the integral bound or whatever. | |
| Oct 20 at 5:01 | comment | added | user90533 | Is this sum $\sum_{k=2}^{\infty}\left(\frac{n+2}{k^{n+3}}-\frac{1}{k^{n+2}}\right) $ positive for $n\in \mathbb{N}?$ | |
| Oct 20 at 2:51 | history | undeleted | user90533 | ||
| Oct 19 at 17:26 | history | deleted | user90533 | via Vote | |
| Oct 19 at 11:38 | comment | added | Fedor Petrov | You may simply use the definition of $\zeta(s)=\sum1/n^s$, after cancellation the remaining positive terms are much larger in absolute values then negative | |
| S Oct 19 at 9:06 | review | First questions | |||
| Oct 19 at 13:06 | |||||
| S Oct 19 at 9:06 | history | asked | user90533 | CC BY-SA 4.0 |