Timeline for On the series $\sum_{\rho}x^{\rho}\Gamma(\rho)/\Gamma(\rho+k),\,0<k<1$
Current License: CC BY-SA 3.0
3 events
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| Jul 1, 2017 at 16:58 | comment | added | User | Thank you for your answer. This series comes out from a Laplace transform, but honestly I didn't know much more about it. The weight $(1-n/x)^{k-1}$ is large when $x$ is not a prime power but $\left\lfloor x\right\rfloor $ is a prime power. For $k \geq 1$ I already know how to handle it but since all the calculations I did hold for $k>0$ I thought it was possible to find an estimation of that series. | |
| Jun 28, 2017 at 19:59 | history | edited | Stopple | CC BY-SA 3.0 |
added failure of absolute convergence
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| Jun 26, 2017 at 19:20 | history | answered | Stopple | CC BY-SA 3.0 |