3 papers
math.CO2026
Hurwitz Stability of Generalized Turán Expressions of Polynomial Sequences
Huihua Gao, Xin-Bei Liu
In this paper we prove the weak Hurwitz stability conjecture for the strong Turán expressions of Eulerian polynomials, as well as the corresponding conjecture for Narayana polynomi…
math.CO2026
Lascoux series, parking functions and noncrossing partitions
Alice L. L. Gao, Xin-Bei Liu, Arthur L. B. Yang +1
In the study of the generating series of Demazure characters, Lascoux used isobaric divided differences to define a family of polynomials indexed by permutations…
math.CO2024
The Briggs inequality for partitions and overpartitions
Xin-Bei Liu, Zhong-Xue Zhang
A sequence of satisfies the Briggs inequality if \begin{align*} a_n^2(a_n^2-a_{n-1}a_{n+1})>a_{n-1}^2(a_{n+1}^2-a_na_{n+2}) \end{align*} holds for any .…