3 papers
math.CO2026
A Refinement of the Fixed--Pixed Points Equidistribution on restricted Permutations
Yao Dong, Chao Xu
Motivated by a recent conjecture of Bsila, Cox, Hugo, Styron and Zhuang concerning fixed points and pixed points on pattern-avoiding permutations, we prove a bivariate refinement i…
math.CO2025
A bi-Stirling-Euler-Mahonian polynomial
Chao Xu, Jiang Zeng
Motivated by recent work on (re)mixed Eulerian numbers, we provide a combinatorial interpretation of a subfamily of the remixed Eulerian numbers introduced by Nadeau and Tewari. Mo…
math.CO2024
Gamma positivity of variations of -Eulerian polynomials
Chao Xu, Jiang Zeng
In 1977 Carlitz and Scoville introduced the cycle -Eulerian polynomials by enumerating permutations with respect to the number of exceda…