|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
20 April 2024 |
|
| | | | |
|
Article forum
| |
|
|
A divergent Vasyunin correction | | Luis Baez-Duarte
; | | Date: |
16 Jun 2005 | | Subject: | Number Theory MSC-class: 11M26 | math.NT | | Abstract: | 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. | | Source: | arXiv, math.NT/0506318 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No message found in this article forum.
You have a question or message about this article?
Ask the community and write a message in the forum.
If you want to rate this article, please use the review section..
To add a message in the forum, you need to login or register first. (free): registration page
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER