A divergent Vasyunin correction
| dc.creator | Baez-Duarte, Luis | |
| dc.date | 2005-06-16 | |
| dc.date.accessioned | 2026-07-07T05:20:47Z | |
| dc.date.available | 2026-07-07T05:20:47Z | |
| dc.description | V. I. Vasyunin has introduced special sequences of step functions related to the strong Nyman-Beurling criterion that converge pointwise to 1 in $[1,\infty)$. We show here that the first and simplest such sequence considered by Vasyunin diverges in $L_1((1,\infty),x^{-2}dx)$, which of course precludes the $L_2((1,\infty),x^{-2}dx)$-convergence needed for the Riemann hypothesis. Whether all sequences considered by this author also diverge remains an interesting open question. | |
| dc.identifier | https://arxiv.org/abs/math/0506318 | |
| dc.identifier | http://arxiv.org/abs/math/0506318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75507 | |
| dc.subject | Number Theory | |
| dc.subject | 11M26 | |
| dc.title | A divergent Vasyunin correction | |
| dc.type | text |