Poisson spacing statistics for value sets of polynomials
| dc.creator | Kurlberg, P. | |
| dc.date | 2006-02-28 | |
| dc.date.accessioned | 2026-07-07T07:03:54Z | |
| dc.date.available | 2026-07-07T07:03:54Z | |
| dc.description | If f is a polynomial with integer coefficients and q is an integer, we may regard f as a map from Z/qZ to Z/qZ. We show that the distribution of the (normalized) spacings between consecutive elements in the image of these maps becomes Poissonian as q tends to infinity along any sequence of square free integers such that the mean spacing modulo q tends to infinity. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602673 | |
| dc.identifier | http://arxiv.org/abs/math/0602673 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109156 | |
| dc.subject | Number Theory | |
| dc.subject | 11N69, 11K36, 11K06 | |
| dc.title | Poisson spacing statistics for value sets of polynomials | |
| dc.type | text |