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math.CO2005
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…
math.CO2003★ 4 cited
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…