2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150426We propose a new type of approximation to quantum determinants, ``quantum Fredholm determinant", and conjecture that, compared to the quantum Selberg zeta functions derived from Gutzwiller semiclassical trace formulas, such determinants have a larger domain of analyticity for Axiom A hyperbolic systems. The conjecture is supported by a numerical investigation of the 3-disk repeller.Contribution to the proceedings of the International School for Advanced Studies workshop ``From Classical to Quantum Chaos", Trieste, July 1992; {\em Nuovo Cimento}, to appearChaotic Dynamicstext