3 papers
math.CO2025
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…
math.CO2025
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…
math.CO2024
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…