147 citations · 679 across the 105 of their papers we have counts for
120 papers
Boundary dents, the arctic circle and the arctic ellipse
Mihai Ciucu, Christian Krattenthaler
The original motivation for this paper goes back to the mid-1990's, when James Propp was interested in natural situations when the number of domino tilings of a region increases if…
Domino tilings of generalized Aztec triangles
Sylvie Corteel, Frederick Huang, Christian Krattenthaler
Di Francesco introduced Aztec triangles as combinatorial objects for which their domino tilings are equinumerous with certain sets of configurations of the twenty-vertex model that…
The congruence properties of Romik's sequence of Taylor coefficients of Jacobi's theta function
Christian Krattenthaler, Thomas W. Müller
In [Ramanujan J. 52 (2020), 275-290], Romik considered the Taylor expansion of Jacobi's theta function at and encoded it in an integer sequence …
Identities for vacillating tableaux via growth diagrams
Christian Krattenthaler
We give bijective proofs using Fomin's growth diagrams for identities involving numbers of vacillating tableaux that arose in the representation theory of partition algebras or are…
Bounded Littlewood identities for cylindric Schur functions
JiSun Huh, Jang Soo Kim, Christian Krattenthaler +1
The identities which are in the literature often called ``bounded Littlewood identities" are determinantal formulas for the sum of Schur functions indexed by partitions with bounde…
An asymptotic approach to Borwein-type sign pattern theorems
Chen Wang, Christian Krattenthaler
The celebrated (First) Borwein Conjecture predicts that for all positive integers~ the sign pattern of the coefficients of the ``Borwein polynomial'' $$(1-q)(1-q^2)(1-q^4)(1-q^5…