A sharpening of Li's criterion for the Riemann Hypothesis
| dc.creator | Voros, André | |
| dc.date | 2004-04-10 | |
| dc.date | 2004-04-15 | |
| dc.date.accessioned | 2026-07-07T05:07:21Z | |
| dc.date.available | 2026-07-07T05:07:21Z | |
| dc.description | Exact and asymptotic formulae are displayed for the coefficients $λ_n$ used in Li's criterion for the Riemann Hypothesis. In particular, we argue that if (and only if) the Hypothesis is true, $λ_n \sim n(A \log n +B)$ for $n \to \infty$ (with explicit $A>0$ and $B$). The approach also holds for more general zeta or $L$-functions. | |
| dc.description | 1 Latex file, 5 pages, submitted to C.R. Acad. Sci. (Paris) Sér. I. V2: notation corrected in eq.(7); eq.(9) made more precise | |
| dc.identifier | https://arxiv.org/abs/math/0404213 | |
| dc.identifier | http://arxiv.org/abs/math/0404213 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70826 | |
| dc.subject | Number Theory | |
| dc.subject | Complex Variables | |
| dc.subject | 11M26 (primary) 30B40; 41A60 (secondary) | |
| dc.title | A sharpening of Li's criterion for the Riemann Hypothesis | |
| dc.type | text |