I was reading the prerequisites for an analytic number theory course and to my surprise the only prerequisite was "working knowledge of complex analysis". I took this to mean "complex analysis for physicists", because there is a complex analysis chapter in my "math for physicists" book which just says "functions of a complex variable".
My question is: Does this mean I don't need real analysis either? Because if you think about it, to get a working knowledge of complex analysis you only need a working knowledge of analysis (that is, calculus), so analysis ends up being not needed.
I always thought analytic number theory had a deep connection with analysis.
Any clarification would be appreciated.
Note: The course I am referring to can be found here (it is quite old, but the instructor is "Ben Green" himself): http://web.archive.org/web/20070708001729/http://www.math.cam.ac.uk/postgrad/casm/descriptions.pdf