Christian Krattenthaler

collaborators

2 papers

math.CO2025

A positivity conjecture for a quotient of $q$ -binomial coefficients

Mona Gatzweiler, Christian Krattenthaler

We conjecture that, if the quotient of two $q$ -binomial coefficients with the same top argument is a polynomial, then it has non-negative coefficients. We summarise what is known a…

math.CO2025

Schur log-concavity and the quantum Pascal triangle

We say a sequence $f_{0}, f_{1}, f_{2}, \dots$ of symmetric functions is Schur log-concave if $f_{n}^{2} - f_{n - 1} f_{n + 1}$ is Schur positive for all $n \geq 1$ . We conjecture that a very gener…

A positivity conjecture for a quotient of q-binomial coefficients

Schur log-concavity and the quantum Pascal triangle

A positivity conjecture for a quotient of $q$ -binomial coefficients