On a linear form for Catalan's constant
| dc.creator | Krattenthaler, Christian | |
| dc.creator | Rivoal, Tanguy | |
| dc.date | 2008-10-10 | |
| dc.date.accessioned | 2026-07-07T10:09:12Z | |
| dc.date.available | 2026-07-07T10:09:12Z | |
| dc.description | It is shown how Andrews' multidimensional extension of Watson's transformation between a very-well-poised $_8ϕ_7$-series and a balanced $_4ϕ_3$-series can be used to give a straightforward proof of a conjecture of Zudilin and the second author on the arithmetic behaviour of the coefficients of certain linear forms of 1 and Catalan's constant. This proof is considerably simpler and more stream-lined than the first proof, due to the second author. | |
| dc.description | 12 pages, AmS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/0810.1927 | |
| dc.identifier | http://arxiv.org/abs/0810.1927 | |
| dc.identifier | South East Asian J. Math. Math. Sci. 6 (No.2) (2008), 3-15 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171244 | |
| dc.subject | Number Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 11J72 (Primary); 11J82, 33C20 (Secondary) | |
| dc.title | On a linear form for Catalan's constant | |
| dc.type | text |