45 citations · 274 across the 22 of their papers we have counts for
22 papers
Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited
André Voros
We survey sum rules for spectral zeta functions of homogeneous 1D Schrödinger operators, that mainly result from the exact WKB method.
From asymptotic to closed forms for the Keiper/Li approach to the Riemann Hypothesis
André Voros
The Riemann Hypothesis (RH) - that all nonreal zeros of Riemann's zeta function shall have real part 1/2 - remains a major open problem. Its most concrete equivalent is that an inf…
Discretized Keiper/Li approach to the Riemann Hypothesis
André Voros
The Keiper--Li sequence is most sensitive to the Riemann Hypothesis asymptotically (), but highly elusive both analytically and numerically. We deform it…
Simplifications of the Keiper/Li approach to the Riemann Hypothesis
André Voros
The Keiper/Li constants are asymptotically () sensitive to the Riemann Hypothesis, but highly elusive analytically and difficult to compute n…
Zeta functions over zeros of Zeta functions and an exponential-asymptotic view of the Riemann Hypothesis
André Voros
We review generalized zeta functions built over the Riemann zeros (in short: "superzeta" functions). They are symmetric functions of the zeros that display a wealth of explicit pro…
Zeta-regularisation for exact-WKB resolution of a general 1D Schrödinger equation
André Voros
We review an exact analytical resolution method for general one-dimensional (1D) quantal anharmonic oscillators: stationary Schrödinger equations with polynomial potentials. It is…