Will a physicist prove the Riemann hypothesis?

@article{Wolf2014WillAP,
  title={Will a physicist prove the Riemann hypothesis?},
  author={Marek Wolf},
  journal={Reports on Progress in Physics},
  year={2014},
  volume={83}
}
  • M. Wolf
  • Published 5 October 2014
  • Mathematics
  • Reports on Progress in Physics
In the first part we present the number theoretical properties of the Riemann zeta function and formulate the Riemann hypothesis. In the second part we review some physical problems related to this hypothesis: the Polya–Hilbert conjecture, the links with random matrix theory, relation with the Lee–Yang theorem on the zeros of the partition function and phase transitions, random walks, billiards etc. 
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24 Citations
Background Citations
9
Methods Citations
5
Results Citations
1

24 Citations

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163 References

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We have given some arguments that a two-dimensional Lorentz-invariant Hamiltonian may be relevant to the Riemann hypothesis concerning zero points of the Riemann zeta function. Some eigenfunction of…

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