Are there any papers that are significant to the proof of the RH? Are there also any common methods used to prove it? Were there any fundamental papers, or known results regarding this hypothesis? Work being done on it?
I am curious to see how other people would attack such a question, so that maybe I could understand higher level concepts more easily. And it is interesting.
While there is certainly a lot of work (to put it mildly) around it, I don't think anyone really has a good idea for a line of attack. There are various ideas about what such a line might look like broadly - see e.g. here for one of them (with the caveat that "field with one element" is not what one might expect) - but no actual concrete approach is known, to the best of my knowledge.
Moreover there are known obstacles to resolving RH in either direction, most strikingly "near analogies" which are known to be true or known to be false. Such near analogues provide important negative information in that they demonstrate that certain approaches can't possibly work. So, for example, we can immediately discard any claimed proof of RH which only uses the Euler product, meromorphic continuation, and functional equation.