On the random nature of (prime) number distribution
| dc.creator | Alvarez, Erika | |
| dc.creator | Pestieau, Jean | |
| dc.date | 2004-12-14 | |
| dc.date.accessioned | 2026-07-07T05:15:18Z | |
| dc.date.available | 2026-07-07T05:15:18Z | |
| dc.description | Let pi(x) denote the number of primes smaller or equal to x. We compare sqrt{pi}(x) with sqrt{R}(x) and sqrt{li}(x), where R(x) and li(x) are the Riemann function and the logarithmic integral, respectively. We show a regularity in the distribution of the natural numbers in terms of a phase related to sqrt{pi}-sqrt{R} and indicate how li(x) can cross pi(x) for the first time. | |
| dc.identifier | https://arxiv.org/abs/math/0412288 | |
| dc.identifier | http://arxiv.org/abs/math/0412288 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73584 | |
| dc.subject | Number Theory | |
| dc.subject | 11A41 | |
| dc.title | On the random nature of (prime) number distribution | |
| dc.type | text |