This material has been published in
Trans. Amer. Math. Soc.
351 (1999), 1015-1042,
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Christian Krattenthaler
A remarkable formula for counting nonintersecting lattice paths
in a ladder with respect to turns
(29 pages)
Abstract.
We prove a formula, conjectured by Conca and Herzog, for the number of
all families of nonintersecting lattice
paths with certain starting and end points in a region that is bounded
by an upper ladder. Thus we are able to compute explicitly the Hilbert
series for certain one-sided ladder determinantal rings.
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