Random matrices, generalized zeta functions and self-similarity of zero distributions

  title={Random matrices, generalized zeta functions and self-similarity of zero distributions},
  author={O. Shanker},
  journal={Journal of Physics A},
  • O. Shanker
  • Published 24 October 2006
  • Mathematics
  • Journal of Physics A
There is growing evidence for a connection between random matrix theories used in physics and the theory of the Riemann zeta function and L-functions. The theory underlying the location of the zeros of these generalized zeta functions is one of the key unsolved problems. Physicists are interested because of the Hilbert–Polya conjecture, that the non-trivial zeros of the zeta function correspond to the eigenvalues of some positive operator. To complement the continuing theoretical work, it would… 

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