Multiple Polylogarithms: A Brief Survey
| dc.creator | Bowman, Douglas | |
| dc.creator | Bradley, David M. | |
| dc.date | 2003-10-05 | |
| dc.date.accessioned | 2026-07-07T08:06:11Z | |
| dc.date.available | 2026-07-07T08:06:11Z | |
| dc.description | We survey various results and conjectures concerning multiple polylogarithms and the multiple zeta function. Among the results, we announce our resolution of several conjectures on multiple zeta values. We also provide a new integral representation for the general multiple polylogarithm, and develop a q-analogue of the shuffle product. | |
| dc.description | 22 pages, in "Proceedings of a Conference on q-Series with Applications to Combinatorics, Number Theory and Physics," (Bruce C. Berndt and Ken Ono eds.) American Mathematical Society, Contemporary Mathematics, Vol. 291, 2001, pp. 71-92. [MR #2003c:33021] | |
| dc.identifier | https://arxiv.org/abs/math/0310062 | |
| dc.identifier | http://arxiv.org/abs/math/0310062 | |
| dc.identifier | pp. 71--92 in "q-series with applications to combinatorics, number theory, and physics" (Urbana, Illinois, 2000), Contemporary Mathematics Vol. 291, American Mathematical Society, Providence, Rhode Island, 2001. MR1874522 (2003c:33021) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130517 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Number Theory | |
| dc.subject | 33E20 (Primary) 11G55, 11M99, 40B05 (Secondary) | |
| dc.title | Multiple Polylogarithms: A Brief Survey | |
| dc.type | text |