The Riemann Zeros and Eigenvalue Asymptotics

Abstract

Comparison between formulae for the counting functions of the heights tn of the Riemann zeros and of semiclassical quantum eigenvalues En suggests that the tn are eigenvalues of an (unknown) hermitean operator H, obtained by quantizing a classical dynamical system with hamiltonian Hcl. Many features of Hcl are provided by the analogy; for example, the… (More)
DOI: 10.1137/S0036144598347497

Topics

5 Figures and Tables

Slides referencing similar topics