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A quantum mechanical model of the Riemann zeros

A quantum mechanical model of the Riemann zeros

In 1999, Berry and Keating showed that a regularization of the 1D classical Hamiltonian H=xp gives semiclassically the smooth counting function of the Riemann zeros. In this paper, we first generalize this result by considering a phase space delimited by two boundary functions in position and momenta, which induce a …