Number theory related to quantum chaos

• Here is what wikipedia say about number theory and quantum chaos.
• A prime case of chaos, a survey article by Barry Cipra describing some very exciting conjectural links between the Riemann zeta function, which is intimately related with prime numbers, and the spectra of chaotic quantum-mechanical systems.
• Quantum Chaos, a survey article by Martin Gutzwiller.
• What is Quantum Chaos, a survey article by Zeev Rudnick.

Need a challenge and some cash? Proving the Riemann Hypothesis, one of the most important unsolved problems in mathematics, will earn you a million dollars! Warning: it is not because of lack of trying that the problem has remained unsolved for more than 150 years.

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