1 citations · 1 across the 6 of their papers we have counts for
6 papers
Some composition determinants
J. M. Brunat, C. Krattenthaler, A. Lascoux +1
We compute two parametric determinants in which rows and columns are indexed by compositions, where in one determinant the entries are products of binomial coefficients, while in t…
The -triangle of the generalised cluster complex
Christian Krattenthaler
The -triangle is a refined face count for the generalised cluster complex of Fomin and Reading. We compute the -triangle explicitly for all irreducible finite root systems. F…
Advanced Determinant Calculus: A Complement
Christian Krattenthaler
This is a complement to my previous article "Advanced Determinant Calculus" (Séminaire Lotharingien Combin. 42 (1999), Article B42q, 67 pp.). In the present article, I share with t…
How can we escape Thomae's relations?
Christian Krattenthaler, Tanguy Rivoal
In 1879, Thomae discussed the relations between two generic hypergeometric -series with argument 1. It is well-known since then that there are 120 such relations (including…
On the number of fully packed loop configurations with a fixed associated matching
Fabrizio Caselli, Christian Krattenthaler, Bodo Lass +1
We show that the number of fully packed loop configurations corresponding to a matching with nested arches is polynomial in if is large enough, thus essentially proving…
Trace identities from identities for determinants
Stephen Humphries, Christian Krattenthaler
We present new identities for determinants of matrices with entries equal to or , where the 's are indeterminates.…