Towards a statistical proof of the Riemann Hypothesis
| dc.creator | Breslaw, Jon | |
| dc.date | 2009-03-25 | |
| dc.date | 2009-03-29 | |
| dc.date.accessioned | 2026-07-07T12:57:18Z | |
| dc.date.available | 2026-07-07T12:57:18Z | |
| dc.description | Using the $ζ$ functional equation and the Hadamard product, an analytical expression for the sum of the reciprocal of the $ζ$ zeros is established. We then demonstrate that on the critical line, $|ζ|$ is convex, and that in the region $0 < \Re(s) \leq 0.5$, $|ζ|$ has a negative slope, given the RH. In each case, analytical formulae are established, and numerical examples are presented to validate these formulae. | |
| dc.description | 9 pages, 1 figure. Revised because of an error on page 9 | |
| dc.identifier | https://arxiv.org/abs/0903.4227 | |
| dc.identifier | http://arxiv.org/abs/0903.4227 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224887 | |
| dc.subject | General Mathematics | |
| dc.subject | 11M06, 11M26 | |
| dc.title | Towards a statistical proof of the Riemann Hypothesis | |
| dc.type | text |