Heheh, I purposely chose a rather vague measure because I'm not sure what I remember of my mathematical education. Thanks for the information. Looks like I'll need to study up on real analysis and complex analysis.
For real analysis I'm deciding between Undergraduate Analysis by Serge Lang...
I am wondering what are the prerequisites required for learning the theory behind Riemann's zeta function, starting from a base of mathematics that an average physics graduate might have. In particular, I want to be able to understand a book like this...
I don't understand the concept of analytic continuation, at any level (I have some small amount of experience with introductory undergraduate-level complex analysis from a long time ago, mostly forgotten):
1) Firstly, why would you want to apply analytic continuation on some complex function...