205 citations · 3k across the 122 of their papers we have counts for
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The Riemann zeros as spectrum and the Riemann hypothesis
Germán Sierra
We present a spectral realization of the Riemann zeros based on the propagation of a massless Dirac fermion in a region of Rindler spacetime and under the action of delta function…
The Riemann zeros as energy levels of a Dirac fermion in a potential built from the prime numbers in Rindler spacetime
German Sierra
We construct a Hamiltonian H whose discrete spectrum contains, in a certain limit, the Riemann zeros. H is derived from the action of a massless Dirac fermion living in a domain of…
General covariant xp models and the Riemann zeros
German Sierra
We study a general class of models whose classical Hamiltonians are given by H = U(x) p + V(x)/p, where x and p are the position and momentum of a particle moving in one dimension,…
The H=xp model revisited and the Riemann zeros
German Sierra, Javier Rodriguez-Laguna
Berry and Keating conjectured that the classical Hamiltonian H = xp is related to the Riemann zeros. A regularization of this model yields semiclassical energies that behave, in av…
A physics pathway to the Riemann hypothesis
German Sierra
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 eigenvalue…
Self-replicating functions and the renormalization group
Javier Rodriguez-Laguna, German Sierra
The partial success of the block renormalization group techniques is analysed in terms of a functional operator which formalizes the idea of self-replicability of a system in terms…