Nearest neighbor spacing distribution of prime numbers and quantum chaos [PDF]
Marek WolfWe show that after appropriate rescaling the statistics of spacings between adjacent prime numbers follows the Poisson distribution. The scaling transformation removes the oscillations in the NNSD of primes. These oscillations have the very profound period of length six. We calculate the spectral rigidity $\Delta_3$ for prime numbers by two methods and we find the cross-overs in their behaviors.View original: http://arxiv.org/abs/1212.3841
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