AbstractWe show that the number of monotone triangles with prescribed bottom row (k1,…,kn)∈Zn, k1<k2<⋯<kn, is given by a simple product formula which remarkably involves (shift) operators. Monotone triangles with bottom row (1,2,…,n) are in bijection with n×n alternating sign matrices
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
AbstractWe show that the number of monotone triangles with prescribed bottom row (k1,…,kn)∈Zn, k1<k2...
AbstractIn the early 1980s, Mills, Robbins and Rumsey conjectured, and in 1996 Zeilberger proved a s...
AbstractWe provide a simplified proof of our operator formula for the number of monotone triangles w...
AbstractWe provide a simplified proof of our operator formula for the number of monotone triangles w...
AbstractIn the early 1980s, Mills, Robbins and Rumsey conjectured, and in 1996 Zeilberger proved a s...
International audienceThe number of Monotone Triangles with bottom row $k_1 < k_2 < ⋯< k_n$ is given...
The number of Monotone Triangles with bottom row $k_1 < k_2 < ⋯< k_n$ is given by a polynomial $\alp...
Das Problem, alternierende Vorzeichenmatrizen fixer Größe zu zählen, zeichnet sich einerseits durch ...
AbstractZeilberger (1996) [12] proved the Refined Alternating Sign Matrix Theorem, which gives a pro...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
AbstractBy rewriting the famous hook-content formula it easily follows that there are ∏1⩽i<j⩽nkj−ki+...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
AbstractWe show that the number of monotone triangles with prescribed bottom row (k1,…,kn)∈Zn, k1<k2...
AbstractIn the early 1980s, Mills, Robbins and Rumsey conjectured, and in 1996 Zeilberger proved a s...
AbstractWe provide a simplified proof of our operator formula for the number of monotone triangles w...
AbstractWe provide a simplified proof of our operator formula for the number of monotone triangles w...
AbstractIn the early 1980s, Mills, Robbins and Rumsey conjectured, and in 1996 Zeilberger proved a s...
International audienceThe number of Monotone Triangles with bottom row $k_1 < k_2 < ⋯< k_n$ is given...
The number of Monotone Triangles with bottom row $k_1 < k_2 < ⋯< k_n$ is given by a polynomial $\alp...
Das Problem, alternierende Vorzeichenmatrizen fixer Größe zu zählen, zeichnet sich einerseits durch ...
AbstractZeilberger (1996) [12] proved the Refined Alternating Sign Matrix Theorem, which gives a pro...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
AbstractBy rewriting the famous hook-content formula it easily follows that there are ∏1⩽i<j⩽nkj−ki+...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
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