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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 '11 at 15:27

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center. If this question can be reworded to fit the rules in the help center, please edit the question.

Miles Bennett Dyson? (sorry I know its in appropriate, just always comes to mind whenever I see the name Dyson) –  Michael Blackmon Jan 25 '11 at 5:14
Are you asking for a more precise version of Dyson's claim? That seems like a reasonable question, but "does anyone have something deeper to help proving Riemann Hypothesis?" does not strike me as a good question for this site. –  Yemon Choi Jan 25 '11 at 5:21
If I had "something deeper to help proving Riemann Hypothesis," I wouldn't be spending my time reading MathOverflow. –  Gerry Myerson Jan 25 '11 at 6:06

1 Answer 1

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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