A physics pathway to the Riemann hypothesis

Abstract

We present a brief review of the spectral approach to the Riemann hypothesis, according to which the imaginary part of the non trivial zeros of the zeta function are the eigenvalues of the Hamiltonian of a quantum mechanical system.

7 pages

References in corpus (2)

• Landau levels and Riemann zeros
• H = x p with interaction and the Riemann zeros

Cited by in corpus (4)

• The Riemann zeros as energy levels of a Dirac fermion in a potential built from the prime numbers in Rindler spacetime
• Finding zeros of the Riemann zeta function by periodic driving of cold atoms
• Randomness of Mobius coefficents and brownian motion: growth of the Mertens function and the Riemann Hypothesis
• Physical interpretation of the Riemann hypothesis