Arithmetic of linear forms involving odd zeta values
| dc.creator | Zudilin, Wadim | |
| dc.date | 2002-06-18 | |
| dc.date | 2002-06-21 | |
| dc.date.accessioned | 2026-07-07T06:29:52Z | |
| dc.date.available | 2026-07-07T06:29:52Z | |
| dc.description | A general hypergeometric construction of linear forms in (odd) zeta values is presented. The construction allows to recover the records of Rhin and Viola for the irrationality measures of $ζ(2)$ and $ζ(3)$, as well as to explain Rivoal's "infinitely-many" result (math.NT/0008051) and to prove that at least one of the four numbers $ζ(5)$, $ζ(7)$, $ζ(9)$, and $ζ(11)$ is irrational. | |
| dc.description | 42 pages, LaTeX; slight modification of the absract | |
| dc.identifier | https://arxiv.org/abs/math/0206176 | |
| dc.identifier | http://arxiv.org/abs/math/0206176 | |
| dc.identifier | J. Théorie Nombres Bordeaux 16:1 (2004), 251--291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98191 | |
| dc.subject | Number Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Primary 11J72, 11J82; Secondary 33C60 | |
| dc.title | Arithmetic of linear forms involving odd zeta values | |
| dc.type | text |