A note on Nyman's equivalent formulation of the Riemann Hypothesis
| dc.creator | Burnol, Jean-Francois | |
| dc.date | 1999-10-11 | |
| dc.date | 2001-01-11 | |
| dc.date.accessioned | 2026-07-07T05:31:07Z | |
| dc.date.available | 2026-07-07T05:31:07Z | |
| dc.description | A certain subspace of the Hilbert space of square-integrable functions on the unit interval has been considered by Nyman, Beurling, and others, with the result that the constant function 1 belongs to it if and only if the Riemann Hypothesis holds. I show that the product of |1 - 1/rho| taken over the zeros with real parts strictly greater than 1/2, counted with multiplicities, is the norm of the projection of 1 to this subspace. This provides a quantitative refinement to Nyman's theorem. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/9910055 | |
| dc.identifier | http://arxiv.org/abs/math/9910055 | |
| dc.identifier | Algebraic Methods in Probability and Statistics, Viana M. & Richards D. eds, Contemp. Math. 287, 23-26, American Mathematical Society, Providence, RI, 2001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79228 | |
| dc.subject | Number Theory | |
| dc.subject | 11M26;30D50 | |
| dc.title | A note on Nyman's equivalent formulation of the Riemann Hypothesis | |
| dc.type | text |