Eigenvalue Density, Li's Positivity, and the Critical Strip
| dc.creator | He, Yang-Hui | |
| dc.creator | Jejjala, Vishnu | |
| dc.creator | Minic, Djordje | |
| dc.date | 2009-03-25 | |
| dc.date | 2009-04-22 | |
| dc.date.accessioned | 2026-07-07T13:06:43Z | |
| dc.date.available | 2026-07-07T13:06:43Z | |
| dc.description | We rewrite the zero-counting formula within the critical strip of the Riemann zeta function as a cumulative density distribution; this subsequently allows us to formally derive an integral expression for the Li coefficients associated with the Riemann xi-function which, in particular, indicate that their positivity criterion is obeyed, whereby entailing the criticality of the non-trivial zeros. We conjecture the validity of this and related expressions without the need for the Riemann Hypothesis and also offer a physical interpretation of the result and discuss the Hilbert-Polya approach. | |
| dc.description | LaTeX, 18 pages; subtleties in convergence and branch cut added | |
| dc.identifier | https://arxiv.org/abs/0903.4321 | |
| dc.identifier | http://arxiv.org/abs/0903.4321 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227870 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Number Theory | |
| dc.title | Eigenvalue Density, Li's Positivity, and the Critical Strip | |
| dc.type | text |