The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, II

Simple item page
dc.creatorFulmek, Markus
dc.creatorKrattenthaler, Christian
dc.date1999-09-07
dc.date.accessioned2026-07-07T05:30:41Z
dc.date.available2026-07-07T05:30:41Z
dc.descriptionWe compute the number of rhombus tilings of a hexagon with side lengths N,M,N,N,M,N, with N and M having the same parity, which contain a particular rhombus next to the center of the hexagon. The special case N=M of one of our results solves a problem posed by Propp. In the proofs, Hankel determinants featuring Bernoulli numbers play an important role.
dc.description42 pages, AmS-LaTeX, uses TeXDraw
dc.identifierhttps://arxiv.org/abs/math/9909038
dc.identifierhttp://arxiv.org/abs/math/9909038
dc.identifierEurop. J. Combin. 21 (2000), 601-640.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79071
dc.subjectCombinatorics
dc.subject05A15 05A16 05A17 05A19 05B45 11B68 30B70 33C20 33C45 52C20
dc.titleThe number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, II
dc.typetext

Files

Collections

arXiv