Wikipedia:Reference desk/Archives/Mathematics/2013 December 10
|< December 9||<< Nov | December | Jan >>||December 11 >|
|Welcome to the Wikipedia Mathematics Reference Desk Archives|
|The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages.|
Reimann's integral from infinity to infinity
The question I am about to ask has been asked on wikipedia before but the answer seemed quite undecided and there was a lot of debate.
In "On the Number of Prime Numbers less than a Given Quantity.", Reimann makes a large jump between this step;
and this one;
Is this using a contour integral? (Perhaps a hankel contour would make sense in context? This paper seems to think so; http://www.damtp.cam.ac.uk/user/md327/fcm_3.pdf but seems to arrive at a slightly different result) or is it something else as it appears User:Eric Kvaalen was suggesting?
The original conversation can be seen here;
- Presumably you integrate from infinity to infinity around a contour containing the pole at the origin. Sławomir Biały (talk) 15:44, 11 December 2013 (UTC)
I would have thought so which is why the Hankel contour appears to be the one to use but I cannot get it to arrive at that result! Help! — Preceding unsigned comment added by 188.8.131.52 (talk) 00:12, 12 December 2013 (UTC)