Colloquium: Physics of the Riemann hypothesis

@article{Schumayer2011ColloquiumPO,
  title={Colloquium: Physics of the Riemann hypothesis},
  author={D{\'a}niel Schumayer and David A. W. Hutchinson},
  journal={Reviews of Modern Physics},
  year={2011},
  volume={83},
  pages={307-330}
}
Physicists become acquainted with special functions early in their studies. Consider our perennial model, the harmonic oscillator, for which we need Hermite functions, or the Laguerre functions in quantum mechanics. Here we choose a particular number theoretical function, the Riemann zeta function and examine its influence in the realm of physics and also how physics may be suggestive for the resolution of one of mathematics' most famous unconfirmed conjectures, the Riemann Hypothesis. Does… 
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