Fischler, Stephane and Sprang, Johannes and Zudilin, Wadim (2018) Many values of the Riemann zeta function at odd integers are irrational. COMPTES RENDUS MATHEMATIQUE, 356 (7). pp. 707-711. ISSN 1631-073X, 1778-3569
Full text not available from this repository. (Request a copy)Abstract
In this note, we announce the following result: at least 2((1-epsilon)log s/log log s) values of the Riemann zeta function at odd integers between 3 and s are irrational, where s is any positive real number and s is large enough in terms of epsilon. This improves on the lower bound 1-epsilon/1+log 2 log s that follows from the Ball-Rivoal theorem. We give the main ideas of the proof, which is based on an elimination process between several linear forms in odd zeta values with related coefficients. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Mar 2020 08:17 |
| Last Modified: | 09 Mar 2020 08:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14349 |
Actions (login required)
 |
View Item |
