Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655003 | European Journal of Combinatorics | 2006 | 32 Pages |
Abstract
We compute the generating function of column-strict plane partitions with parts in {1,2,â¦,n}, at most c columns, p rows of odd length and k parts equal to n. This refines both Krattenthaler's [C. Krattenthaler, The major counting of nonintersecting lattice paths and generating functions for tableaux, Mem. Amer. Math. Soc. 115 (552) (1995) vi+109] and the author's [I. Fischer, A method for proving polynomial enumeration formulas, J. Combin. Theory Ser. A (in press). Preprint, math.CO/0301103] refinement of the Bender-Knuth (ex-)conjecture. The result is proved by an extension of the method for proving polynomial enumeration formulas which was introduced by the author in I. Fischer [A method for proving polynomial enumeration formulas, J. Combin. Theory Ser. A (in press). Preprint, math.CO/0301103] to q-quasi-polynomials.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Ilse Fischer,