Which Dirichlet Series is obtained as the Mellin transformation of

Printable View

- April 3rd 2010, 07:40 AMEinStoneApplying Mellin Transformation
Which Dirichlet Series is obtained as the Mellin transformation of

- April 3rd 2010, 08:42 AMchiph588@
- April 3rd 2010, 09:07 AMEinStone
Ok thanks, what can you say about ? Deduce that

- April 3rd 2010, 09:48 AMchiph588@
- April 3rd 2010, 10:37 AMchiph588@
- April 3rd 2010, 11:41 AMEinStone
Ok good, can you still evaluate ?

- April 3rd 2010, 11:46 AMchiph588@
- April 3rd 2010, 02:26 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? - April 3rd 2010, 03:05 PMchiph588@
- April 4th 2010, 02:22 AMEinStone
ah I found my mistake. My Power series had coefficient and not just . Thanks for the post :).