Abstract
We show that the Circular Orthogonal Ensemble of random matrices arises naturally from a family of random polynomials. This sheds light on the appearance of random matrix statistics in the zeros of the Riemann zeta-function.
| Translated title of the contribution | Random polynomials, random matrices and L-functions |
|---|---|
| Original language | English |
| Pages (from-to) | 919 - 936 |
| Number of pages | 18 |
| Journal | Nonlinearity |
| Volume | 19 (4) |
| DOIs | |
| Publication status | Published - Apr 2006 |