Timeline for Closed form for $\sum_{n=1}^{\infty} \frac{1}{1+n+n^2+\cdots+n^a}$
Current License: CC BY-SA 3.0
4 events
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Oct 13, 2015 at 11:10 | history | edited | Alexey Ustinov | CC BY-SA 3.0 |
added 155 characters in body
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Oct 13, 2015 at 9:25 | comment | added | Fedor Petrov | It looks like my answer above modified by using functional equation $\psi(x+1)=\psi(x)+1/x$. | |
Oct 13, 2015 at 8:51 | comment | added | Fedor Petrov | That is, $f_{n}(x)=\frac{(x+2)^{n+1}-1}{x+1}$, i.e. roots are $w-2$, where $w^{n+1}=1$. | |
Oct 13, 2015 at 7:50 | history | answered | Alexey Ustinov | CC BY-SA 3.0 |