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Timeline for Ramanujan-type sum

Current License: CC BY-SA 3.0

6 events
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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Apr 13, 2017 at 12:19 history edited CommunityBot
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
May 18, 2016 at 6:55 history edited Zurab Silagadze CC BY-SA 3.0
right half ---> right-half
May 18, 2016 at 6:34 history edited Zurab Silagadze CC BY-SA 3.0
Some links and explanation added
May 17, 2016 at 21:18 comment added antonio asis Dear Mr Zurab good explanation but this integral it is difficul to resolve anyway the second sum it is possible calculate as $$\sum _{k=1}^{\infty } \frac{k}{1-e^{\frac{\pi k}{2}}}=\frac{6 \psi _{e^{4 \pi }}^{(1)}(1)+6 \psi _{e^{4 \pi }}^{(1)}\left(1-\frac{i}{4}\right)-\pi ^2-48 \pi }{24 \pi ^2}-\frac{2}{3}+\frac{1}{\pi }$$
May 17, 2016 at 13:26 history answered Zurab Silagadze CC BY-SA 3.0