I would like to ask about if you know papers containing remarkable achievements that were written by contemporary physicists concerning the distribution of prime numbers (or closely related, maybe the distribution of the zeros of the Riemann zeta function) in the spirit of the modern analytic number theory.


I am asking about it since I don't know how to search it, and I don't know how to know if a paper is remarkable for the community of professional mathematicians.



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> **Question.** Can you as professional number theoretician or professor tell me what are important and remarkable articles/papers due to contemporary physicists concerning the distribution of prime numbers in the spirit of the modern analytic number theory? Then add the references answering this question as a reference request. **Many thanks.**
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Thus I assume that there are professors who, apart from studying their discipline in some field of physics or as a natural consequence of his/her investigations, provided relevant results in the study of the distribution of prime numbers.



Remarkable articles about the distribution of prime numbers that were written by contemporary physicists
I would nominate Sir Michael Berry, FRS. According to Wikipedia, "He is known for the Berry phase, a phenomenon observed e.g. in quantum mechanics and optics, as well as Berry connection and curvature. He specialises in semiclassical physics (asymptotic physics, quantum chaos), applied to wave phenomena in quantum mechanics and other areas such as optics."


His papers using tools of quantum chaos in analytic number theory include "The Riemann Zeros and Eigenvalue Asymptotics" (with J. Keating), SIAM REVIEW Vol. 41, No. 2, pp. 236–266, among others.


