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Another refinement of the Bender-Knuth (ex-)Conjecture | Ilse Fischer
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19 Dec 2003 | Subject: | Combinatorics | math.CO | Abstract: | We compute the generating function of column-strict plane partitions with parts in {1,2,...,n}, at most c columns, p rows of odd length and k parts equal to n. This refines both, Krattenthaler’s ["The major counting of nonintersecting lattice paths and generating functions for tableaux", Mem. Amer. Math. Soc. 115 (1995)] and the author’s ["A method for proving polynomial enumeration formulas", preprint] 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 to q-quasi-polynomials. | Source: | arXiv, math.CO/0401235 | Services: | Forum | Review | PDF | Favorites |
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