Which Dirichlet Series is obtained as the Mellin transformation of

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- Apr 3rd 2010, 08:40 AMEinStoneApplying Mellin Transformation
Which Dirichlet Series is obtained as the Mellin transformation of

- Apr 3rd 2010, 09:42 AMchiph588@
- Apr 3rd 2010, 10:07 AMEinStone
Ok thanks, what can you say about ? Deduce that

- Apr 3rd 2010, 10:48 AMchiph588@
- Apr 3rd 2010, 11:37 AMchiph588@
- Apr 3rd 2010, 12:41 PMEinStone
Ok good, can you still evaluate ?

- Apr 3rd 2010, 12:46 PMchiph588@
- Apr 3rd 2010, 03:26 PMEinStone
OK I will ask from beginning. I learned that the Mellin transformation transforms Power series in Dirichlet Series. If

http://upload.wikimedia.org/math/a/2...c6090b1b28.png and http://upload.wikimedia.org/math/1/8...fab382679b.png

then http://upload.wikimedia.org/math/a/c...87358a08a1.png.

Now in my case

Then we should have . How do I get your result from here? - Apr 3rd 2010, 04:05 PMchiph588@
- Apr 4th 2010, 03:22 AMEinStone
ah I found my mistake. My Power series had coefficient and not just . Thanks for the post :).