1 citations · 2 across the 4 of their papers we have counts for
4 papers
Generalizations of wreath product identities via Garsia-Gessel bijections
Tingyao Xiong
Garsia and Gessel constructed innovative bijections to obtain multivariate generating functions of permutation statistics. In 2011, Biaogioli and Zeng successfully derived four and…
Modifications on Character Sequences and Construction of Large Even Length Binary Sequences
Tingyao Xiong, Jonathan I. Hall
It has been noticed that all the known binary sequences having the asymptotic merit factor are the modifications to the real primitive characters. In this paper, we give a…
Combinatorial Interpretation of General Eulerian Numbers
Tingyao Xiong, Jonathan I. Hall, Hung-ping Tsao
Since 1950s, mathematicians have successfully interpreted the traditional Eulerian numbers and Eulerian numbers combinatorially. In this paper, the authors give a combinatorial…
General Eulerian Numbers and Eulerian Polynomials
Tingyao Xiong, Hung-ping Tsao, Jonathan I. Hall
In this paper, we will define general Eulerian numbers and Eulerian polynomials based on general arithmetic progressions. Under the new definitions, we have been successful in exte…