Abstract
For infinite Gaussian unitary ensemble random matrices the probability density function for the nearest neighbor eignenvalue spacing (as distinct from the spacing between consecutive eigenvalues) is computed in terms of the solution of a certain nonlinear equation, which generalizes the σ form of the Painlevé equation. Comparison is made with the empirical value of for the zeros of the Riemann function on the critical line, including data from consecutive zeros near zero number .
- Received 27 March 1996
DOI:https://doi.org/10.1103/PhysRevE.54.R4493
©1996 American Physical Society