Correlations of eigenvalues and Riemann zeros
| dc.creator | Conrey, J. B. | |
| dc.creator | Snaith, N. C. | |
| dc.date | 2008-03-19 | |
| dc.date.accessioned | 2026-07-07T09:27:31Z | |
| dc.date.available | 2026-07-07T09:27:31Z | |
| dc.description | We present a new approach to obtaining the lower order terms for $n$-correlation of the zeros of the Riemann zeta function. Our approach is based on the `ratios conjecture' of Conrey, Farmer, and Zirnbauer. Assuming the ratios conjecture we prove a formula which explicitly gives all of the lower order terms in any order correlation. Our method works equally well for random matrix theory and gives a new expression, which is structurally the same as that for the zeta function, for the $n$-correlation of eigenvalues of matrices from U(N). | |
| dc.identifier | https://arxiv.org/abs/0803.2795 | |
| dc.identifier | http://arxiv.org/abs/0803.2795 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157131 | |
| dc.subject | Number Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | 11M26;15A52 | |
| dc.title | Correlations of eigenvalues and Riemann zeros | |
| dc.type | text |