1 citations · 1 across the 4 of their papers we have counts for
4 papers
Schur log-concavity and the quantum Pascal triangle
Álvaro Gutiérrez, Christian Krattenthaler
We say a sequence of symmetric functions is Schur log-concave if is Schur positive for all . We conjecture that a very gener…
A positivity conjecture for a quotient of -binomial coefficients
Mona Gatzweiler, Christian Krattenthaler
We conjecture that, if the quotient of two -binomial coefficients with the same top argument is a polynomial, then it has non-negative coefficients. We summarise what is known a…
Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations
Christoph Koutschan, Christian Krattenthaler, Michael Schlosser
In his work on the twenty vertex model, Di Francesco [Electron. J. Combin. 28(4) (2021), Paper No. 4.38] found a determinant formula for the number of configurations in a specific…
Proof of Two Multivariate -Binomial Sums Arising in Gromov-Witten Theory
Christian Krattenthaler
We prove two multivariate -binomial identities conjectured by Bousseau, Brini and van Garrel [Geom. Topol. 28 (2024), 393-496, arXiv:2011.08830] which give generating series for…