Approximants de Padé des $q$-polylogarithmes
| dc.creator | Krattenthaler, Christian | |
| dc.creator | Rivoal, Tanguy | |
| dc.date | 2004-07-12 | |
| dc.date.accessioned | 2026-07-07T12:21:18Z | |
| dc.date.available | 2026-07-07T12:21:18Z | |
| dc.description | We solve a Padé-type problem of approximating three specific functions simultaneously by $q$-analogues of polylogarithms, respectively by powers of the logarithm. This problem is intimately related to recent results of the authors and Wadim Zudilin ["Séries hypergéométriques basiques, fonction $q$-zêta et séries d'Eisenstein", J. Inst. Math. Jussieu (to appear)] on the dimension of the vector space generated by $q$-analogues of values of the Riemann zeta function at integers. We also show that our result can be considered as a $q$-analogue of a result of Stéphane Fischler and the second author [J. Math. Pures Appl. {\bf 82} (2003), 1369-1394]. | |
| dc.description | 10 pages, AmS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0407191 | |
| dc.identifier | http://arxiv.org/abs/math/0407191 | |
| dc.identifier | in: "Diophantine Approximation - Festschrift for Wolfgang Schmidt," Developments in Mathematics, Vol. 16, R. Tichy, H.-P. Schlickewei, K. Schmidt, eds., Springer-Verlag, New York, 2008, pp. 221-230. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213323 | |
| dc.subject | Number Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Primary 41A21; Secondary 33D15 | |
| dc.title | Approximants de Padé des $q$-polylogarithmes | |
| dc.type | text |