Abstract

The one-sided power spectrum of the fluctuations of the Riemann staircase is calculated numerically and shown to be Lorentzian, like the one-sided power spectrum of the fluctuations of the spectral staircase for classically chaotic systems. This result provides further evidence in support of Berry's conjecture that the En's of the enigmatic Riemann zeroes 1/2 + iEn are real because they are the quantized energies of a system which is classically chaotic.

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