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Apart from analytic number theory / complex analysis to actually knowing what it's about, which fields of math should I master to have a chance at solving it?

I understand that the answer may come unexpectedly from anywhere, but I have limited time and would like to at least try delving into this matter.

David Seelmann
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    I'd rather say "all of them". We still do not know what the key to the RH will be. And if I know, maybe I would not tell you. – Jack D'Aurizio Jun 10 '15 at 14:22
  • have a look at http://en.wikipedia.org/wiki/Riemann_hypothesis#Attempts_to_prove_the_Riemann_hypothesis and maybe here: http://mathoverflow.net/questions/39944/collection-of-equivalent-forms-of-riemann-hypothesis – supinf Jun 10 '15 at 14:28
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    start here: http://modular.math.washington.edu/rh/ – PeterR Jun 10 '15 at 14:34
  • @supinf thanks. – David Seelmann Jun 10 '15 at 14:38
  • See also here – hmakholm left over Monica Jun 10 '15 at 14:46
  • I'd rather say "most of them". We only have a vague idea of what the key to the RH will be. And since I love fractals, I'll show you some of the lesser known properties of the Riemann zeta function. Look here. If you're intrigued a quick search will pull up a plethora of more detailed information. – Zach466920 Jun 10 '15 at 14:51
  • The book Prime Obsession by John Derbyshire is a wonderful introduction to the problem. – Akiva Weinberger Jun 10 '15 at 14:55
  • Asking what kind of mathematics one needs to solve some unsolved problem is too broad. While there are mainstream approaches to solving RH, using analytic number theory, there are also lots of non-classical approaches (Connes' $\Bbb F_1$ approach, Iwaniec's approach, etc.), and, as far as I know, we have no idea which one is the right one. That being said, I don't think anyone has any idea of how much mathematics is needed to solve RH. – Balarka Sen Jun 11 '15 at 07:05

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