I'm not a mathematician but still I'm very interested in Riemann hypothesis. I discovered it with the Numberphile channel. I would like to know what are the current work done of this subject and if there are any promising method to solve it?
closed as too broad by Matt Samuel, Jack D'Aurizio, Will Jagy, muaddib, Daniel W. Farlow Jul 16 '15 at 23:43
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You might look at Peter Borwein's recent book "The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike".
This question has been partially addressed at mathoverflow. See the question https://mathoverflow.net/questions/34699/approaches-to-riemann-hypothesis-using-methods-outside-number-theory, which focuses on methods outside number theory, and also https://mathoverflow.net/questions/96642/current-status-of-the-riemann-hypothesis. It appears at present that there is no really promising approach, but I may be very wrong.