4 citations · 4 across the 5 of their papers we have counts for
4 papers · 1 filter
Rationality, irrationality, and Wilf equivalence in generalized factor order
Sergey Kitaev, Jeffrey Liese, Jeffrey Remmel +1
Let be a partially ordered set and consider the free monoid of all words over . If then is a factor of if there are words with . D…
Counting descents, rises, and levels, with prescribed first element, in words
Sergey Kitaev, Toufik Mansour, Jeffrey B. Remmel
Recently, Kitaev and Remmel [Classifying descents according to parity, Annals of Combinatorics, to appear 2007] refined the well-known permutation statistic ``descent'' by fixing p…
Classifying Descents According to Parity
Sergey Kitaev, Jeffrey Remmel
In this paper we refine the well-known permutation statistic "descent" by fixing parity of (exactly) one of the descent's numbers. We provide explicit formulas for the distribution…
A Combinatorial Formula for the Character of the Diagonal Coinvariants
J. Haglund, M. Haiman, N. Loehr +2
Let R_n be the ring of coinvariants for the diagonal action of the symmetric group S_n. It is known that the character of R_n as a doubly-graded S_n module can be expressed using t…