A non-automatic (!) application of Gosper's algorithm evaluates a determinant from tiling enumeration
| dc.creator | Ciucu, Mihai | |
| dc.creator | Krattenthaler, Christian | |
| dc.date | 2000-11-08 | |
| dc.date | 2001-01-09 | |
| dc.date.accessioned | 2026-07-07T04:38:29Z | |
| dc.date.available | 2026-07-07T04:38:29Z | |
| dc.description | We evaluate the determinant $\det_{1\leq i,j\leq n}(\binom{x+y+j}{x-i+2j}-\binom{x+y+j}{x+i+2j})$, which gives the number of lozenge tilings of a hexagon with cut off corners. A particularly interesting feature of this evaluation is that it requires the proof of a certain hypergeometric identity which we accomplish by using Gosper's algorithm in a non-automatic fashion. | |
| dc.description | 14 pages, AmS-TeX, uses TeXDraw; minor modifications | |
| dc.identifier | https://arxiv.org/abs/math/0011047 | |
| dc.identifier | http://arxiv.org/abs/math/0011047 | |
| dc.identifier | Rocky Mountain J. Math. 32 (2002), 589-605. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60299 | |
| dc.subject | Combinatorics | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 05A15 (Primary) 05A16 05A17 05A19 05B45 33C20 52C20 (Secondary) | |
| dc.title | A non-automatic (!) application of Gosper's algorithm evaluates a determinant from tiling enumeration | |
| dc.type | text |