Role of physics in the zeta function $\zeta$ and the Riemann hypothesis

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Role of physics in the zeta function $\zeta$ and the Riemann hypothesis

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Hilbert and Polya suggested a physical way to verify the Riemann hypotesis about $\zeta(x)$. If the Riemann hypotesis is true, we can state all eigenvalues of physical problems are real. What is the connection between the eigenvalues and the $\zeta$ function?

This post imported from StackExchange Physics at 2014-07-03 17:56 (UCT), posted by SE-user Riccardo.Alestra

asked Jul 3, 2014 in Theoretical Physics by Riccardo.Alestra (40 points) [ no revision ]
retagged Jul 3, 2014

This post imported from StackExchange Physics at 2014-07-03 17:56 (UCT), posted by SE-user Qmechanic

commented Jul 3, 2014 by Qmechanic (3,120 points) [ no revision ]
edited Jul 13, 2014 by dimension10

Also Number theory in physics.

commented Jul 13, 2014 by dimension10 (1,985 points) [ no revision ]

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