56 citations · 120 across the 4 of their papers we have counts for
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Landau levels and Riemann zeros
German Sierra, Paul K. Townsend
The number of complex zeros of the Riemann zeta function with positive imaginary part less than is the sum of a `smooth' function and a `fluctuation'. Berry…
A quantum mechanical model of the Riemann zeros
German Sierra
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…
On the Quantum Reconstruction of the Riemann zeros
German Sierra
We discuss a possible spectral realization of the Riemann zeros based on the Hamiltonian perturbed by a term that depends on two potentials, which are related to the Berry…
H = x p with interaction and the Riemann zeros
German Sierra
Starting from a quantized version of the classical Hamiltonian H = x p, we add a non local interaction which depends on two potentials. The model is solved exactly in terms of a Jo…