6 citations · 7 across the 14 of their papers we have counts for
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Bijections for hook pair identities
Christian Krattenthaler
Short, bijective proofs of identities for multisets of `hook pairs' (arm-leg pairs) of the cells of certain diagrams are given. These hook pair identities were originally found by…
Enumeration of lozenge tilings of hexagons with a central triangular hole
Mihai Ciucu, Theresia Eisenkölbl, C. Krattenthaler +1
We deal with unweighted and weighted enumerations of lozenge tilings of a hexagon with side lengths , where an equilateral triangle of side length has been r…
The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, II
Markus Fulmek, Christian Krattenthaler
We 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 t…
Advanced Determinant Calculus
Christian Krattenthaler
The purpose of this article is threefold. First, it provides the reader with a few useful and efficient tools which should enable her/him to evaluate nontrivial determinants for th…