Multiple-integral representations of very-well-poised hypergeometric series
| dc.creator | Zudilin, Wadim | |
| dc.date | 2002-06-18 | |
| dc.date.accessioned | 2026-07-07T04:49:12Z | |
| dc.date.available | 2026-07-07T04:49:12Z | |
| dc.description | A new multiple-integral representation of a general family of very-well-poised hypergeometric series is proved. Inspite of an analytic character of the result, it is motivated by the recent arithmetic progress for the values of the Riemann zeta function at odd integers. The multiple integrals are of Euler-type and can be viewed as a natural generalization of Beukers' integrals for $ζ(2)$ and $ζ(3)$. | |
| dc.description | 8 pages, AmSTeX; a 2-page summary to appear in Uspekhi Mat. Nauk [Russian Math. Surveys] 57:4 (2002) | |
| dc.identifier | https://arxiv.org/abs/math/0206177 | |
| dc.identifier | http://arxiv.org/abs/math/0206177 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64330 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Number Theory | |
| dc.subject | Primary 33C20, 33C60; Secondary 11J82 | |
| dc.title | Multiple-integral representations of very-well-poised hypergeometric series | |
| dc.type | text |