3 papers
math.CO2025
Counting permutations by alternating runs via Hetyei-Reiner trees
Qiongqiong Pan, Yunze Wang, Jiang Zeng
The generating polynomial of permutations of size , counted by the number of alternating runs, has a root at of multiplicity for all . Th…
math.CO2021
Cycles of even-odd drop permutations and continued fractions of Genocchi numbers
Qiongqiong Pan, Jiang Zeng
Recently, Lazar and Wachs (arXiv:1910.07651) showed that the (median) Genocchi numbers play a fundamental role in the study of the homogenized Linial arrangement and obtained two n…
math.CO2019
Brändén's -Eulerian polynomials, André permutations and continued fractions
Qiong Qiong Pan, Jiang Zeng
In 2008 Brändén proved a -analogue of the -expansion formula for Eulerian polynomials and conjectured the divisibility of the -coefficient by .…