Professor Dyson once said quasiperiodic crystals are connected with Riemann Hypothesis. Does anyone have something deeper to help proving Riemann Hypothesis?
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closed as not a real question by Gerry Myerson, Harry Gindi, David Hansen, Chandan Singh Dalawat, Timothy Chow Jan 25 2011 at 15:27 |
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If you are looking for the connection between quasi-crystals and RH, here is what I remember (I might be wrong): Take all the zeroes of the zeta function and project them on the critical line. Then the RH is equivalent to this set being pure point diffractive (usually this is what people understand by quasi-crystals, bu the formal definition of a quasi-crystal is intentionally vague). From what I remember the discrete component of the diffraction is well known, the question about the continuous diffraction spectrum is open (and seems equivalent to the RH). |
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