15 citations · 15 across the 1 of their papers we have counts for
7 papers
Nonintersecting lattice paths on the cylinder
Markus Fulmek
We show how a formula concerning ``vicious walkers'' (which basically are nonintersecting lattice paths) on the cylinder given by P.J. Forrester can be proved and generalized by us…
Enumeration of permutations containing a prescribed number of occurrences of a pattern of length 3
Markus Fulmek
We consider the problem of enumerating the permutations containing exactly occurrences of a pattern of length 3. This enumeration has received a lot of interest recently, and t…
A continued fraction expansion for a q-tangent function
Markus Fulmek
We prove a continued fraction expansion for a certain q--tangent function that was conjectured by Prodinger.
Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations
Markus Fulmek, Michael Kleber
We present a ``method'' for bijective proofs for determinant identities, which is based on translating determinants to Schur functions by the Jacobi--Trudi identity. We illustrate…
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…
The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, I
Markus Fulmek, Christian Krattenthaler
We compute the number of rhombus tilings of a hexagon with sides , which contain a fixed rhombus on the symmetry axis that cuts through the sides of length .